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104696916 = 223194359181
BaseRepresentation
bin1100011110110…
…00110001010100
321022000011011120
412033120301110
5203300300131
614220003540
72410623552
oct617306124
9238004146
10104696916
115410a385
122b0905b0
13188c964c
14dc94bd2
1592d1496
hex63d8c54

104696916 has 96 divisors (see below), whose sum is σ = 269068800. Its totient is φ = 31570560.

The previous prime is 104696899. The next prime is 104696927. The reversal of 104696916 is 619696401.

It is a super-2 number, since 2×1046969162 = 21922888439822112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 578346 + ... + 578526.

It is an arithmetic number, because the mean of its divisors is an integer number (2802800).

Almost surely, 2104696916 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 104696916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134534400).

104696916 is an abundant number, since it is smaller than the sum of its proper divisors (164371884).

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

104696916 is a wasteful number, since it uses less digits than its factorization.

104696916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 104696916 is about 10232.1510934896. The cubic root of 104696916 is about 471.3150375425.

The spelling of 104696916 in words is "one hundred four million, six hundred ninety-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 43 57 59 76 86 114 118 129 172 177 181 228 236 258 354 362 516 543 708 724 817 1086 1121 1634 2172 2242 2451 2537 3268 3363 3439 4484 4902 5074 6726 6878 7611 7783 9804 10148 10317 10679 13452 13756 15222 15566 20634 21358 23349 30444 31132 32037 41268 42716 46698 48203 64074 93396 96406 128148 144609 147877 192812 202901 289218 295754 405802 443631 459197 578436 591508 608703 811604 887262 918394 1217406 1377591 1774524 1836788 2434812 2755182 5510364 8724743 17449486 26174229 34898972 52348458 104696916