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104314672 = 24711227373
BaseRepresentation
bin1100011011110…
…11011100110000
321021021201211101
412031323130300
5203201032142
614203454144
72404442260
oct615733460
9237251741
10104314672
1153979180
122ab27354
13187c4677
14dbd57a0
1592580b7
hex637b730

104314672 has 80 divisors (see below), whose sum is σ = 253769472. Its totient is φ = 40354560.

The previous prime is 104314663. The next prime is 104314699. The reversal of 104314672 is 276413401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 104314672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279478 + ... + 279850.

Almost surely, 2104314672 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 104314672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126884736).

104314672 is an abundant number, since it is smaller than the sum of its proper divisors (149454800).

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

104314672 is a wasteful number, since it uses less digits than its factorization.

104314672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 104314672 is about 10213.4554387827. The cubic root of 104314672 is about 470.7407543422.

The spelling of 104314672 in words is "one hundred four million, three hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 227 308 373 454 616 746 908 1232 1492 1589 1816 2497 2611 2984 3178 3632 4103 4994 5222 5968 6356 8206 9988 10444 12712 16412 17479 19976 20888 25424 28721 32824 34958 39952 41776 57442 65648 69916 84671 114884 139832 169342 229768 279664 338684 459536 592697 677368 931381 1185394 1354736 1862762 2370788 3725524 4741576 6519667 7451048 9483152 13039334 14902096 26078668 52157336 104314672