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104319936 = 2632725873
BaseRepresentation
bin1100011011111…
…00101111000000
321021022000001100
412031330233000
5203201214221
614203534400
72404463520
oct615745700
9237260040
10104319936
1153982126
122ab2a400
13187c6b96
14dbd7680
159259926
hex637cbc0

104319936 has 84 divisors (see below), whose sum is σ = 341743792. Its totient is φ = 29804544.

The previous prime is 104319923. The next prime is 104319977. The reversal of 104319936 is 639913401.

It is a tau number, because it is divible by the number of its divisors (84).

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 104319936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8905 + ... + 16968.

Almost surely, 2104319936 is an apocalyptic number.

104319936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104319936 is an abundant number, since it is smaller than the sum of its proper divisors (237423856).

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

104319936 is a wasteful number, since it uses less digits than its factorization.

104319936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25898 (or 25885 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 104319936 is about 10213.7131348007. The cubic root of 104319936 is about 470.7486724922.

The spelling of 104319936 in words is "one hundred four million, three hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 25873 51746 77619 103492 155238 181111 206984 232857 310476 362222 413968 465714 543333 620952 724444 827936 931428 1086666 1241904 1448888 1629999 1655872 1862856 2173332 2483808 2897776 3259998 3725712 4346664 4967616 5795552 6519996 7451424 8693328 11591104 13039992 14902848 17386656 26079984 34773312 52159968 104319936