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112334656 = 2672113317
BaseRepresentation
bin1101011001000…
…01011101000000
321211101012011211
412230201131000
5212224202111
615051415504
72532554200
oct654413500
9254335154
10112334656
1158456765
1231754594
131a371c15
1410cc2400
159cde521
hex6b21740

112334656 has 84 divisors (see below), whose sum is σ = 262428228. Its totient is φ = 47566848.

The previous prime is 112334641. The next prime is 112334681. The reversal of 112334656 is 656433211.

It can be written as a sum of positive squares in 2 ways, for example, as 3841600 + 108493056 = 1960^2 + 10416^2 .

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 11 ways as a sum of consecutive naturals, for example, 354210 + ... + 354526.

Almost surely, 2112334656 is an apocalyptic number.

112334656 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 112334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131214114).

112334656 is an abundant number, since it is smaller than the sum of its proper divisors (150093572).

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

112334656 is a wasteful number, since it uses less digits than its factorization.

112334656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 439 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 112334656 is about 10598.8044608814. The cubic root of 112334656 is about 482.5080757863.

Adding to 112334656 its reverse (656433211), we get a palindrome (768767867).

The spelling of 112334656 in words is "one hundred twelve million, three hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 113 196 224 226 317 392 448 452 634 784 791 904 1268 1568 1582 1808 2219 2536 3136 3164 3616 4438 5072 5537 6328 7232 8876 10144 11074 12656 15533 17752 20288 22148 25312 31066 35504 35821 44296 50624 62132 71008 71642 88592 124264 142016 143284 177184 248528 250747 286568 354368 497056 501494 573136 994112 1002988 1146272 1755229 2005976 2292544 3510458 4011952 7020916 8023904 14041832 16047808 28083664 56167328 112334656