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113302272 = 283314759
BaseRepresentation
bin1101100000011…
…01101100000000
321220012100111110
412300031230000
5213001133042
615124243320
72544024216
oct660155400
9256170443
10113302272
1158a57746
1231b40540
131a620485
1411094cb6
159e3109c
hex6c0db00

113302272 has 72 divisors (see below), whose sum is σ = 311342080. Its totient is φ = 36541440.

The previous prime is 113302271. The next prime is 113302279. The reversal of 113302272 is 272203311.

It is not an unprimeable number, because it can be changed into a prime (113302271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21429 + ... + 26187.

Almost surely, 2113302272 is an apocalyptic number.

113302272 is a gapful number since it is divisible by the number (12) 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 113302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155671040).

113302272 is an abundant number, since it is smaller than the sum of its proper divisors (198039808).

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

113302272 is an equidigital number, since it uses as much as digits as its factorization.

113302272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4809 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 113302272 is about 10644.3539963682. The cubic root of 113302272 is about 483.8895087353.

Adding to 113302272 its reverse (272203311), we get a palindrome (385505583).

The spelling of 113302272 in words is "one hundred thirteen million, three hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 4759 5952 7936 9518 11904 14277 19036 23808 28554 38072 57108 76144 114216 147529 152288 228432 295058 304576 442587 456864 590116 609152 885174 913728 1180232 1218304 1770348 1827456 2360464 3540696 3654912 4720928 7081392 9441856 14162784 18883712 28325568 37767424 56651136 113302272