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100904076 = 223371310267
BaseRepresentation
bin1100000001110…
…10110010001100
321000212110101000
412000322302030
5201312412301
614002420300
72333445660
oct600726214
9230773330
10100904076
1151a597a9
1229961690
1317b9c170
14d5888a0
158cd2786
hex603ac8c

100904076 has 96 divisors (see below), whose sum is σ = 322004480. Its totient is φ = 26609472.

The previous prime is 100904033. The next prime is 100904087. The reversal of 100904076 is 670409001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4695 + ... + 14961.

Almost surely, 2100904076 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 100904076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161002240).

100904076 is an abundant number, since it is smaller than the sum of its proper divisors (221100404).

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

100904076 is a wasteful number, since it uses less digits than its factorization.

100904076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 100904076 is about 10045.1020900735. The cubic root of 100904076 is about 465.5534720750.

The spelling of 100904076 in words is "one hundred million, nine hundred four thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 10267 20534 30801 41068 61602 71869 92403 123204 133471 143738 184806 215607 266942 277209 287476 369612 400413 431214 533884 554418 646821 800826 862428 934297 1108836 1201239 1293642 1601652 1868594 1940463 2402478 2587284 2802891 3603717 3737188 3880926 4804956 5605782 7207434 7761852 8408673 11211564 14414868 16817346 25226019 33634692 50452038 100904076