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104072580 = 22335316217
BaseRepresentation
bin1100011010000…
…00010110000100
321020211102202000
412031000112010
5203120310310
614154345300
72402413413
oct615002604
9236742660
10104072580
11538232a7
122aa2b230
131873b411
14db7147a
15920b4c0
hex6340584

104072580 has 96 divisors (see below), whose sum is σ = 334279680. Its totient is φ = 26853120.

The previous prime is 104072567. The next prime is 104072627. The reversal of 104072580 is 85270401.

104072580 is a `hidden beast` number, since 1 + 0 + 407 + 258 + 0 = 666.

It is a super-2 number, since 2×1040725802 = 21662203815712800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13632 + ... + 19848.

It is an arithmetic number, because the mean of its divisors is an integer number (3482080).

Almost surely, 2104072580 is an apocalyptic number.

104072580 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 104072580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167139840).

104072580 is an abundant number, since it is smaller than the sum of its proper divisors (230207100).

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

104072580 is a wasteful number, since it uses less digits than its factorization.

104072580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6266 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 104072580 is about 10201.5969338138. The cubic root of 104072580 is about 470.3763094587.

The spelling of 104072580 in words is "one hundred four million, seventy-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 6217 8370 12434 16740 18651 24868 31085 37302 55953 62170 74604 93255 111906 124340 167859 186510 192727 223812 279765 335718 373020 385454 559530 578181 671436 770908 839295 963635 1119060 1156362 1678590 1734543 1927270 2312724 2890905 3357180 3469086 3854540 5203629 5781810 6938172 8672715 10407258 11563620 17345430 20814516 26018145 34690860 52036290 104072580