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15942 = 232657
BaseRepresentation
bin11111001000110
3210212110
43321012
51002232
6201450
764323
oct37106
923773
1015942
1110a83
129286
137344
145b4a
154acc
hex3e46

15942 has 8 divisors (see below), whose sum is σ = 31896. Its totient is φ = 5312.

The previous prime is 15937. The next prime is 15959. The reversal of 15942 is 24951.

Subtracting 15942 from its reverse (24951), we obtain a palindrome (9009).

It can be divided in two parts, 1594 and 2, that added together give a triangular number (1596 = T56).

It is a sphenic number, since it is the product of 3 distinct primes.

15942 is an admirable number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15942.

It is an unprimeable number.

15942 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1323 + ... + 1334.

It is an arithmetic number, because the mean of its divisors is an integer number (3987).

215942 is an apocalyptic number.

15942 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15948).

15942 is a wasteful number, since it uses less digits than its factorization.

15942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662.

The product of its digits is 360, while the sum is 21.

The square root of 15942 is about 126.2616331274. The cubic root of 15942 is about 25.1679360401.

The spelling of 15942 in words is "fifteen thousand, nine hundred forty-two".

Divisors: 1 2 3 6 2657 5314 7971 15942