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15957 = 34197
BaseRepresentation
bin11111001010101
3210220000
43321111
51002312
6201513
764344
oct37125
923800
1015957
1110a97
129299
137356
145b5b
154adc
hex3e55

15957 has 10 divisors (see below), whose sum is σ = 23958. Its totient is φ = 10584.

The previous prime is 15937. The next prime is 15959. The reversal of 15957 is 75951.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 81 = 126^2 + 9^2 .

It is a de Polignac number, because none of the positive numbers 2k-15957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

15957 is an undulating number in base 14.

It is a nialpdrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 15957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15959) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18 + ... + 179.

215957 is an apocalyptic number.

It is an amenable number.

15957 is a deficient number, since it is larger than the sum of its proper divisors (8001).

15957 is an equidigital number, since it uses as much as digits as its factorization.

15957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 15957 is about 126.3210196286. The cubic root of 15957 is about 25.1758271600.

It can be divided in two parts, 159 and 57, that added together give a cube (216 = 63).

The spelling of 15957 in words is "fifteen thousand, nine hundred fifty-seven".

Divisors: 1 3 9 27 81 197 591 1773 5319 15957