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113684112 = 2432789473
BaseRepresentation
bin1101100011010…
…10111010010000
321220220202021200
412301222322100
5213100342422
615140351200
72550204363
oct661527220
9256822250
10113684112
1159198613
12320a5500
131a725209
14111540da
159ea92ac
hex6c6ae90

113684112 has 30 divisors (see below), whose sum is σ = 318158022. Its totient is φ = 37894656.

The previous prime is 113684111. The next prime is 113684113. The reversal of 113684112 is 211486311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113684111) and next prime (113684113).

It can be written as a sum of positive squares in only one way, i.e., 113294736 + 389376 = 10644^2 + 624^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113684111) by changing a digit.

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, 394593 + ... + 394880.

Almost surely, 2113684112 is an apocalyptic number.

113684112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113684112 is an abundant number, since it is smaller than the sum of its proper divisors (204473910).

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

113684112 is a wasteful number, since it uses less digits than its factorization.

113684112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789487 (or 789478 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 113684112 is about 10662.2751793414. The cubic root of 113684112 is about 484.4324845935.

The spelling of 113684112 in words is "one hundred thirteen million, six hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 789473 1578946 2368419 3157892 4736838 6315784 7105257 9473676 12631568 14210514 18947352 28421028 37894704 56842056 113684112