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165056431 = 317372937
BaseRepresentation
bin10011101011010…
…00111110101111
3102111120201212011
421311220332233
5314223301211
624213422051
74042646041
oct1165507657
9374521764
10165056431
1185196381
124733a927
1328271137
1417cc7a91
15e755921
hex9d68faf

165056431 has 8 divisors (see below), whose sum is σ = 172717184. Its totient is φ = 157541760.

The previous prime is 165056407. The next prime is 165056459. The reversal of 165056431 is 134650561.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-165056431 is a prime.

It is a super-2 number, since 2×1650564312 = 54487250828915522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 165056393 and 165056402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165056471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34206 + ... + 38731.

It is an arithmetic number, because the mean of its divisors is an integer number (21589648).

Almost surely, 2165056431 is an apocalyptic number.

165056431 is a deficient number, since it is larger than the sum of its proper divisors (7660753).

165056431 is an equidigital number, since it uses as much as digits as its factorization.

165056431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73041.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 165056431 is about 12847.4289645828. The cubic root of 165056431 is about 548.5431760190.

It can be divided in two parts, 1650 and 56431, that added together give a square (58081 = 2412).

The spelling of 165056431 in words is "one hundred sixty-five million, fifty-six thousand, four hundred thirty-one".

Divisors: 1 31 73 2263 72937 2261047 5324401 165056431