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113774376 = 23323712903
BaseRepresentation
bin1101100100000…
…00111100101000
321221002100002210
412302000330220
5213111240001
615142325120
72551031502
oct662007450
9257070083
10113774376
115924a411
12321297a0
131a757321
1411178d72
159ec5dd6
hex6c80f28

113774376 has 64 divisors (see below), whose sum is σ = 301086720. Its totient is φ = 35752640.

The previous prime is 113774329. The next prime is 113774449. The reversal of 113774376 is 673477311.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37741 + ... + 40643.

It is an arithmetic number, because the mean of its divisors is an integer number (4704480).

Almost surely, 2113774376 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 113774376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150543360).

113774376 is an abundant number, since it is smaller than the sum of its proper divisors (187312344).

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

113774376 is a wasteful number, since it uses less digits than its factorization.

113774376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3002 counting only the distinct ones).

The product of its digits is 74088, while the sum is 39.

The square root of 113774376 is about 10666.5072071414. The cubic root of 113774376 is about 484.5606621234.

It can be divided in two parts, 11377 and 4376, that added together give a triangular number (15753 = T177).

The spelling of 113774376 in words is "one hundred thirteen million, seven hundred seventy-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 71 92 138 142 184 213 276 284 426 552 568 852 1633 1704 2903 3266 4899 5806 6532 8709 9798 11612 13064 17418 19596 23224 34836 39192 66769 69672 133538 200307 206113 267076 400614 412226 534152 618339 801228 824452 1236678 1602456 1648904 2473356 4740599 4946712 9481198 14221797 18962396 28443594 37924792 56887188 113774376