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112813056 = 2103212241
BaseRepresentation
bin1101011100101…
…10010000000000
321212021111102100
412232112100000
5212340004211
615105550400
72536616016
oct656262000
9255244370
10112813056
1158753134
1231945400
131a4ab8b5
1410da88b6
159d86156
hex6b96400

112813056 has 66 divisors (see below), whose sum is σ = 325771862. Its totient is φ = 37601280.

The previous prime is 112813039. The next prime is 112813079. The reversal of 112813056 is 650318211.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 27878400 = 9216^2 + 5280^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3096 + ... + 15336.

Almost surely, 2112813056 is an apocalyptic number.

112813056 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 112813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162885931).

112813056 is an abundant number, since it is smaller than the sum of its proper divisors (212958806).

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

112813056 is a wasteful number, since it uses less digits than its factorization.

112813056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12267 (or 12246 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 112813056 is about 10621.3490668559. The cubic root of 112813056 is about 483.1920586973.

The spelling of 112813056 in words is "one hundred twelve million, eight hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 12241 24482 36723 48964 73446 97928 110169 146892 195856 220338 293784 391712 440676 587568 783424 881352 1175136 1566848 1762704 2350272 3133696 3525408 4700544 6267392 7050816 9401088 12534784 14101632 18802176 28203264 37604352 56406528 112813056