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104372460 = 223252931979
BaseRepresentation
bin1100011100010…
…01100011101100
321021101200002200
412032021203230
5203204404320
614205021500
72405102613
oct616114354
9237350080
10104372460
1153a08635
122ab54890
1318814a6a
14dc0c87a
15926a290
hex63898ec

104372460 has 72 divisors (see below), whose sum is σ = 317837520. Its totient is φ = 27723648.

The previous prime is 104372447. The next prime is 104372461. The reversal of 104372460 is 64273401.

It is a super-2 number, since 2×1043724602 = 21787220812903200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104372461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51751 + ... + 53729.

It is an arithmetic number, because the mean of its divisors is an integer number (4414410).

Almost surely, 2104372460 is an apocalyptic number.

104372460 is a gapful number since it is divisible by the number (10) 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 104372460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158918760).

104372460 is an abundant number, since it is smaller than the sum of its proper divisors (213465060).

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

104372460 is a wasteful number, since it uses less digits than its factorization.

104372460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 104372460 is about 10216.2840602638. The cubic root of 104372460 is about 470.8276649190.

The spelling of 104372460 in words is "one hundred four million, three hundred seventy-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 293 586 879 1172 1465 1758 1979 2637 2930 3516 3958 4395 5274 5860 5937 7916 8790 9895 10548 11874 13185 17580 17811 19790 23748 26370 29685 35622 39580 52740 59370 71244 89055 118740 178110 356220 579847 1159694 1739541 2319388 2899235 3479082 5218623 5798470 6958164 8697705 10437246 11596940 17395410 20874492 26093115 34790820 52186230 104372460