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113103936 = 26321117851
BaseRepresentation
bin1101011110111…
…01010001000000
321212211021102200
412233131101000
5212423311221
615120113200
72542240041
oct657352100
9255737380
10113103936
1158931730
1231a65800
131a58110a
14110428c8
159de2426
hex6bdd440

113103936 has 84 divisors (see below), whose sum is σ = 353683824. Its totient is φ = 34272000.

The previous prime is 113103919. The next prime is 113103967. The reversal of 113103936 is 639301311.

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 11 ways as a sum of consecutive naturals, for example, 2590 + ... + 15261.

Almost surely, 2113103936 is an apocalyptic number.

113103936 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 113103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176841912).

113103936 is an abundant number, since it is smaller than the sum of its proper divisors (240579888).

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

113103936 is a wasteful number, since it uses less digits than its factorization.

113103936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17880 (or 17867 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 113103936 is about 10635.0334273099. The cubic root of 113103936 is about 483.6069937641.

The spelling of 113103936 in words is "one hundred thirteen million, one hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 17851 35702 53553 71404 107106 142808 160659 196361 214212 285616 321318 392722 428424 571232 589083 642636 785444 856848 1142464 1178166 1285272 1570888 1713696 1767249 2356332 2570544 3141776 3427392 3534498 4712664 5141088 6283552 7068996 9425328 10282176 12567104 14137992 18850656 28275984 37701312 56551968 113103936