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125917056 = 2732109303
BaseRepresentation
bin1111000000101…
…01011110000000
322202221020201200
413200111132000
5224213321211
620254501200
73056164056
oct740253600
9282836650
10125917056
1165093391
1236204800
1320119245
1412a1a1d6
15b0c3b56
hex7815780

125917056 has 48 divisors (see below), whose sum is σ = 362342760. Its totient is φ = 41971968.

The previous prime is 125917037. The next prime is 125917063. The reversal of 125917056 is 650719521.

125917056 is a `hidden beast` number, since 12 + 591 + 7 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 125917056.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 53500 + ... + 55803.

Almost surely, 2125917056 is an apocalyptic number.

125917056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125917056 is an abundant number, since it is smaller than the sum of its proper divisors (236425704).

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

125917056 is a wasteful number, since it uses less digits than its factorization.

125917056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109323 (or 109308 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 125917056 is about 11221.2769326846. The cubic root of 125917056 is about 501.2197632687.

The spelling of 125917056 in words is "one hundred twenty-five million, nine hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 109303 218606 327909 437212 655818 874424 983727 1311636 1748848 1967454 2623272 3497696 3934908 5246544 6995392 7869816 10493088 13990784 15739632 20986176 31479264 41972352 62958528 125917056