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104632812 = 223229315361
BaseRepresentation
bin1100011110010…
…01000111101100
321021212220020100
412033021013230
5203241222222
614214351100
72410235634
oct617110754
9237786210
10104632812
11540761a9
122b05b490
13188a640b
14dc796c4
1592bc4ac
hex63c91ec

104632812 has 144 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 31449600.

The previous prime is 104632799. The next prime is 104632813. The reversal of 104632812 is 218236401.

104632812 is a `hidden beast` number, since 10 + 4 + 632 + 8 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (104632813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1715262 + ... + 1715322.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2104632812 is an apocalyptic number.

104632812 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 104632812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

104632812 is an abundant number, since it is smaller than the sum of its proper divisors (187848468).

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

104632812 is a wasteful number, since it uses less digits than its factorization.

104632812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104632812 is about 10229.0181346990. The cubic root of 104632812 is about 471.2188253879.

The spelling of 104632812 in words is "one hundred four million, six hundred thirty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 53 58 61 62 87 93 106 116 122 124 159 174 183 186 212 244 261 279 318 348 366 372 477 522 549 558 636 732 899 954 1044 1098 1116 1537 1643 1769 1798 1891 1908 2196 2697 3074 3233 3286 3538 3596 3782 4611 4929 5307 5394 5673 6148 6466 6572 7076 7564 8091 9222 9699 9858 10614 10788 11346 12932 13833 14787 15921 16182 17019 18444 19398 19716 21228 22692 27666 29097 29574 31842 32364 34038 38796 47647 54839 55332 58194 59148 63684 68076 93757 95294 100223 109678 116388 142941 164517 187514 190588 200446 219356 281271 285882 300669 329034 375028 400892 428823 493551 562542 571764 601338 658068 843813 857646 902007 987102 1125084 1202676 1687626 1715292 1804014 1974204 2906467 3375252 3608028 5812934 8719401 11625868 17438802 26158203 34877604 52316406 104632812