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104691136 = 261131229
BaseRepresentation
bin1100011110101…
…11010111000000
321021222212020111
412033113113000
5203300104021
614215521104
72410600654
oct617272700
9237885214
10104691136
1154106000
122b089194
13188c6b24
14dc92a64
1592ce8e1
hex63d75c0

104691136 has 56 divisors (see below), whose sum is σ = 228691440. Its totient is φ = 47548160.

The previous prime is 104691127. The next prime is 104691143. The reversal of 104691136 is 631196401.

It is a junction number, because it is equal to n+sod(n) for n = 104691098 and 104691107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84570 + ... + 85798.

Almost surely, 2104691136 is an apocalyptic number.

104691136 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 104691136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114345720).

104691136 is an abundant number, since it is smaller than the sum of its proper divisors (124000304).

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

104691136 is an equidigital number, since it uses as much as digits as its factorization.

104691136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 104691136 is about 10231.8686465376. The cubic root of 104691136 is about 471.3063640904.

The spelling of 104691136 in words is "one hundred four million, six hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1229 1331 1936 2458 2662 3872 4916 5324 7744 9832 10648 13519 19664 21296 27038 39328 42592 54076 78656 85184 108152 148709 216304 297418 432608 594836 865216 1189672 1635799 2379344 3271598 4758688 6543196 9517376 13086392 26172784 52345568 104691136