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1950 = 235213

1950 has 24 divisors (see below), whose sum is σ = 5208. Its totient is φ = 480.

The previous prime is 1949. The next prime is 1951. The reversal of 1950 is 591.


It is an interprime number because it is at equal distance from previous prime (1949) and next prime (1951).

It is a Harshad number since it is a multiple of its sum of digits (15).

1950 is an undulating number in base 7 and base 8.

It is a plaindrome in base 12 and base 16.

It is a nialpdrome in base 13.

It is a zygodrome in base 12.

It is a congruent number.


It is not an unprimeable number, because it can be changed into a prime (1951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144 + ... + 156.

It is an arithmetic number, because the mean of its divisors is an integer number (217).


It is a practical number, because each smaller number is the sum of distinct divisors of 1950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604).

1950 is an abundant number, since it is smaller than the sum of its proper divisors (3258).


1950 is a wasteful number, since it uses less digits than its factorization.

1950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 1950 is about 44.1588043316. The cubic root of 1950 is about 12.4933297746.

The spelling of 1950 in words is "one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950