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104046656 = 267271857
BaseRepresentation
bin1100011001110…
…10000001000000
321020210010011212
412030322001000
5203113443111
614154025252
72402245010
oct614720100
9236703155
10104046656
115380587a
122aa18228
131872c68c
14db65c40
15920398b
hex633a040

104046656 has 56 divisors (see below), whose sum is σ = 237110016. Its totient is φ = 44375040.

The previous prime is 104046653. The next prime is 104046661. The reversal of 104046656 is 656640401.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (104046653) 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, 120980 + ... + 121836.

Almost surely, 2104046656 is an apocalyptic number.

104046656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104046656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118555008).

104046656 is an abundant number, since it is smaller than the sum of its proper divisors (133063360).

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

104046656 is an equidigital number, since it uses as much as digits as its factorization.

104046656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 104046656 is about 10200.3262692916. The cubic root of 104046656 is about 470.3372500251.

The spelling of 104046656 in words is "one hundred four million, forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 271 448 542 857 1084 1714 1897 2168 3428 3794 4336 5999 6856 7588 8672 11998 13712 15176 17344 23996 27424 30352 47992 54848 60704 95984 121408 191968 232247 383936 464494 928988 1625729 1857976 3251458 3715952 6502916 7431904 13005832 14863808 26011664 52023328 104046656