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112874076 = 223273071459
BaseRepresentation
bin1101011101001…
…01001001011100
321212101121010100
412232211021130
5212343432301
615111141100
72540261640
oct656451134
9255347110
10112874076
1158794a67
1231974790
131a5005c3
1410dc2c20
159d99286
hex6ba525c

112874076 has 72 divisors (see below), whose sum is σ = 327367040. Its totient is φ = 32122656.

The previous prime is 112874071. The next prime is 112874093. The reversal of 112874076 is 670478211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112874076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112874071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76635 + ... + 78093.

Almost surely, 2112874076 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 112874076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163683520).

112874076 is an abundant number, since it is smaller than the sum of its proper divisors (214492964).

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

112874076 is a wasteful number, since it uses less digits than its factorization.

112874076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 112874076 is about 10624.2211949865. The cubic root of 112874076 is about 483.2791616920.

The spelling of 112874076 in words is "one hundred twelve million, eight hundred seventy-four thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 307 614 921 1228 1459 1842 2149 2763 2918 3684 4298 4377 5526 5836 6447 8596 8754 10213 11052 12894 13131 17508 19341 20426 25788 26262 30639 38682 40852 52524 61278 77364 91917 122556 183834 367668 447913 895826 1343739 1791652 2687478 3135391 4031217 5374956 6270782 8062434 9406173 12541564 16124868 18812346 28218519 37624692 56437038 112874076