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104397832 = 23721123171
BaseRepresentation
bin1100011100011…
…11110000001000
321021102221220101
412032033300020
5203211212312
614205335144
72405236600
oct616176010
9237387811
10104397832
1153a25700
122ab674b4
1318823486
14dc17c00
159272a57
hex638fc08

104397832 has 144 divisors (see below), whose sum is σ = 261999360. Its totient is φ = 38808000.

The previous prime is 104397793. The next prime is 104397869. The reversal of 104397832 is 238793401.

It is a junction number, because it is equal to n+sod(n) for n = 104397791 and 104397800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1470357 + ... + 1470427.

It is an arithmetic number, because the mean of its divisors is an integer number (1819440).

Almost surely, 2104397832 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 104397832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130999680).

104397832 is an abundant number, since it is smaller than the sum of its proper divisors (157601528).

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

104397832 is a wasteful number, since it uses less digits than its factorization.

104397832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 104397832 is about 10217.5257278854. The cubic root of 104397832 is about 470.8658131421.

The spelling of 104397832 in words is "one hundred four million, three hundred ninety-seven thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 49 56 62 71 77 88 98 121 124 142 154 196 217 242 248 284 308 341 392 434 484 497 539 568 616 682 781 847 868 968 994 1078 1364 1519 1562 1694 1736 1988 2156 2201 2387 2728 3038 3124 3388 3479 3751 3976 4312 4402 4774 5467 5929 6076 6248 6776 6958 7502 8591 8804 9548 10934 11858 12152 13916 15004 15407 16709 17182 17608 19096 21868 23716 24211 26257 27832 30008 30814 33418 34364 38269 43736 47432 48422 52514 60137 61628 66836 68728 76538 96844 105028 107849 120274 123256 133672 153076 169477 183799 193688 210056 215698 240548 266321 306152 338954 367598 420959 431396 481096 532642 677908 735196 841918 862792 1065284 1186339 1355816 1470392 1683836 1864247 2130568 2372678 3367672 3728494 4745356 7456988 9490712 13049729 14913976 26099458 52198916 104397832