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104372688 = 2437535861
BaseRepresentation
bin1100011100010…
…01100111010000
321021101200102010
412032021213100
5203204411223
614205022520
72405103360
oct616114720
9237350363
10104372688
1153a08822
122ab54a40
1318814bb4
14dc0c9a0
15926a393
hex63899d0

104372688 has 80 divisors (see below), whose sum is σ = 314015616. Its totient is φ = 29253120.

The previous prime is 104372687. The next prime is 104372761. The reversal of 104372688 is 886273401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104372683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14878 + ... + 20738.

Almost surely, 2104372688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104372688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157007808).

104372688 is an abundant number, since it is smaller than the sum of its proper divisors (209642928).

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

104372688 is a wasteful number, since it uses less digits than its factorization.

104372688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 104372688 is about 10216.2952189138. The cubic root of 104372688 is about 470.8280077573.

The spelling of 104372688 in words is "one hundred four million, three hundred seventy-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 4452 5861 5936 8904 11722 17583 17808 23444 35166 41027 46888 70332 82054 93776 123081 140664 164108 246162 281328 310633 328216 492324 621266 656432 931899 984648 1242532 1863798 1969296 2174431 2485064 3727596 4348862 4970128 6523293 7455192 8697724 13046586 14910384 17395448 26093172 34790896 52186344 104372688