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112636496 = 2472143669
BaseRepresentation
bin1101011011010…
…11001001010000
321211221112020002
412231223021100
5212313331441
615102105132
72535252200
oct655531120
9254845202
10112636496
1158642515
123187b1a8
131a44941b
1410d60400
159d4db9b
hex6b6b250

112636496 has 30 divisors (see below), whose sum is σ = 253864890. Its totient is φ = 48272448.

The previous prime is 112636477. The next prime is 112636507. The reversal of 112636496 is 694636211.

It can be written as a sum of positive squares in only one way, i.e., 68227600 + 44408896 = 8260^2 + 6664^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71051 + ... + 72618.

It is an arithmetic number, because the mean of its divisors is an integer number (8462163).

Almost surely, 2112636496 is an apocalyptic number.

112636496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112636496 is an abundant number, since it is smaller than the sum of its proper divisors (141228394).

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

112636496 is a wasteful number, since it uses less digits than its factorization.

112636496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143691 (or 143678 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 112636496 is about 10613.0342503923. The cubic root of 112636496 is about 482.9398510830.

The spelling of 112636496 in words is "one hundred twelve million, six hundred thirty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 143669 287338 574676 1005683 1149352 2011366 2298704 4022732 7039781 8045464 14079562 16090928 28159124 56318248 112636496