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814056 = 233107317
BaseRepresentation
bin11000110101111101000
31112100200020
43012233220
5202022211
625240440
76630225
oct3065750
91470606
10814056
11506681
12333120
132266b9
1417294c
15111306
hexc6be8

814056 has 32 divisors (see below), whose sum is σ = 2060640. Its totient is φ = 267968.

The previous prime is 814049. The next prime is 814061. The reversal of 814056 is 650418.

It is a super-2 number, since 2×8140562 = 1325374342272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 814056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2410 + ... + 2726.

It is an arithmetic number, because the mean of its divisors is an integer number (64395).

2814056 is an apocalyptic number.

It is an amenable number.

814056 is an abundant number, since it is smaller than the sum of its proper divisors (1246584).

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

814056 is a wasteful number, since it uses less digits than its factorization.

814056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 814056 is about 902.2505195343. The cubic root of 814056 is about 93.3723079855.

The spelling of 814056 in words is "eight hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 107 214 317 321 428 634 642 856 951 1268 1284 1902 2536 2568 3804 7608 33919 67838 101757 135676 203514 271352 407028 814056