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104631696 = 24331331601
BaseRepresentation
bin1100011110010…
…00110110010000
321021212211201000
412033020312100
5203241203241
614214342000
72410232451
oct617106620
9237784630
10104631696
1154075384
122b05a900
13188a5a60
14dc79128
1592bbeb6
hex63c8d90

104631696 has 160 divisors (see below), whose sum is σ = 334423040. Its totient is φ = 31104000.

The previous prime is 104631691. The next prime is 104631697. The reversal of 104631696 is 696136401.

104631696 is a `hidden beast` number, since 10 + 4 + 631 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104631696.

It is not an unprimeable number, because it can be changed into a prime (104631691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173796 + ... + 174396.

It is an arithmetic number, because the mean of its divisors is an integer number (2090144).

Almost surely, 2104631696 is an apocalyptic number.

104631696 is a gapful number since it is divisible by the number (16) 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 104631696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167211520).

104631696 is an abundant number, since it is smaller than the sum of its proper divisors (229791344).

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

104631696 is a wasteful number, since it uses less digits than its factorization.

104631696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 104631696 is about 10228.9635838632. The cubic root of 104631696 is about 471.2171500624.

The spelling of 104631696 in words is "one hundred four million, six hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 601 624 702 744 806 837 936 1116 1202 1209 1404 1488 1612 1674 1803 1872 2232 2404 2418 2808 3224 3348 3606 3627 4464 4808 4836 5409 5616 6448 6696 7212 7254 7813 9616 9672 10818 10881 13392 14424 14508 15626 16227 18631 19344 21636 21762 23439 28848 29016 31252 32454 37262 43272 43524 46878 55893 58032 62504 64908 70317 74524 86544 87048 93756 111786 125008 129816 140634 149048 167679 174096 187512 210951 223572 242203 259632 281268 298096 335358 375024 421902 447144 484406 503037 562536 670716 726609 843804 894288 968812 1006074 1125072 1341432 1453218 1687608 1937624 2012148 2179827 2682864 2906436 3375216 3875248 4024296 4359654 5812872 6539481 8048592 8719308 11625744 13078962 17438616 26157924 34877232 52315848 104631696