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113790752 = 2523349443
BaseRepresentation
bin1101100100001…
…00111100100000
321221010011120022
412302010330200
5213112301002
615142533012
72551130315
oct662047440
9257104508
10113790752
1159260749
1232137168
131a76190a
1411180d0c
159ecaba2
hex6c84f20

113790752 has 48 divisors (see below), whose sum is σ = 234964800. Its totient is φ = 54143232.

The previous prime is 113790749. The next prime is 113790757. The reversal of 113790752 is 257097311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (113790757) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 256643 + ... + 257085.

It is an arithmetic number, because the mean of its divisors is an integer number (4895100).

Almost surely, 2113790752 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 113790752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117482400).

113790752 is an abundant number, since it is smaller than the sum of its proper divisors (121174048).

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

113790752 is a wasteful number, since it uses less digits than its factorization.

113790752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 113790752 is about 10667.2748159968. The cubic root of 113790752 is about 484.5839092581.

The spelling of 113790752 in words is "one hundred thirteen million, seven hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 349 368 443 698 736 886 1396 1772 2792 3544 5584 7088 8027 10189 11168 14176 16054 20378 32108 40756 64216 81512 128432 154607 163024 256864 309214 326048 618428 1236856 2473712 3555961 4947424 7111922 14223844 28447688 56895376 113790752