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104072472 = 2333729833
BaseRepresentation
bin1100011010000…
…00010100011000
321020211102121000
412031000110120
5203120304342
614154345000
72402413200
oct615002430
9236742530
10104072472
1153823209
122aa2b160
131873b35a
14db71400
15920b44c
hex6340518

104072472 has 96 divisors (see below), whose sum is σ = 336322800. Its totient is φ = 29731968.

The previous prime is 104072471. The next prime is 104072483. The reversal of 104072472 is 274270401.

It is a happy number.

104072472 is a `hidden beast` number, since 10 + 407 + 247 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104072471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5668 + ... + 15500.

Almost surely, 2104072472 is an apocalyptic number.

104072472 is a gapful number since it is divisible by the number (12) 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 104072472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168161400).

104072472 is an abundant number, since it is smaller than the sum of its proper divisors (232250328).

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

104072472 is a wasteful number, since it uses less digits than its factorization.

104072472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9862 (or 9845 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 104072472 is about 10201.5916405236. The cubic root of 104072472 is about 470.3761467496.

The spelling of 104072472 in words is "one hundred four million, seventy-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 9833 10584 19666 29499 39332 58998 68831 78664 88497 117996 137662 176994 206493 235992 265491 275324 353988 412986 481817 530982 550648 619479 707976 825972 963634 1061964 1238958 1445451 1651944 1858437 1927268 2123928 2477916 2890902 3716874 3854536 4336353 4955832 5781804 7433748 8672706 11563608 13009059 14867496 17345412 26018118 34690824 52036236 104072472