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112309008 = 24371572129
BaseRepresentation
bin1101011000110…
…11001100010000
321211022212222220
412230123030100
5212222342013
615051101040
72532416340
oct654331420
9254285886
10112309008
1158439469
1231741780
131a363346
1410cb6d20
159cd6b23
hex6b1b310

112309008 has 80 divisors (see below), whose sum is σ = 333847680. Its totient is φ = 31868928.

The previous prime is 112308983. The next prime is 112309009. The reversal of 112309008 is 800903211.

It is a super-2 number, since 2×1123090082 = 25226626555888128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112309009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51688 + ... + 53816.

It is an arithmetic number, because the mean of its divisors is an integer number (4173096).

Almost surely, 2112309008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112309008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166923840).

112309008 is an abundant number, since it is smaller than the sum of its proper divisors (221538672).

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

112309008 is a wasteful number, since it uses less digits than its factorization.

112309008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 112309008 is about 10597.5944440236. The cubic root of 112309008 is about 482.4713512660.

The spelling of 112309008 in words is "one hundred twelve million, three hundred nine thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 157 168 314 336 471 628 942 1099 1256 1884 2129 2198 2512 3297 3768 4258 4396 6387 6594 7536 8516 8792 12774 13188 14903 17032 17584 25548 26376 29806 34064 44709 51096 52752 59612 89418 102192 119224 178836 238448 334253 357672 668506 715344 1002759 1337012 2005518 2339771 2674024 4011036 4679542 5348048 7019313 8022072 9359084 14038626 16044144 18718168 28077252 37436336 56154504 112309008