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113116256 = 25112111523
BaseRepresentation
bin1101011111000…
…00010001100000
321212211220022222
412233200101200
5212424210011
615120250212
72542321001
oct657402140
9255756288
10113116256
115893aa10
1231a70968
131a5868c6
14110471a8
159de5ddb
hex6be0460

113116256 has 48 divisors (see below), whose sum is σ = 244254528. Its totient is φ = 51139200.

The previous prime is 113116247. The next prime is 113116261. The reversal of 113116256 is 652611311.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 73511 + ... + 75033.

It is an arithmetic number, because the mean of its divisors is an integer number (5088636).

Almost surely, 2113116256 is an apocalyptic number.

113116256 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 113116256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122127264).

113116256 is an abundant number, since it is smaller than the sum of its proper divisors (131138272).

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

113116256 is a wasteful number, since it uses less digits than its factorization.

113116256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1747 counting only the distinct ones).

The product of its digits is 1080, while the sum is 26.

The square root of 113116256 is about 10635.6126292753. The cubic root of 113116256 is about 483.6245523097.

Adding to 113116256 its reverse (652611311), we get a palindrome (765727567).

The spelling of 113116256 in words is "one hundred thirteen million, one hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 211 352 422 844 1523 1688 2321 3046 3376 4642 6092 6752 9284 12184 16753 18568 24368 33506 37136 48736 67012 74272 134024 268048 321353 536096 642706 1285412 2570824 3534883 5141648 7069766 10283296 14139532 28279064 56558128 113116256