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112704912 = 2433317823
BaseRepresentation
bin1101011011110…
…11110110010000
321212002000002000
412231323312100
5212323024122
615103354000
72535655515
oct655736620
9255060060
10112704912
1158689961
12318b2900
131a4715c8
1410d7b30c
159d640ac
hex6b7bd90

112704912 has 80 divisors (see below), whose sum is σ = 324919680. Its totient is φ = 37404288.

The previous prime is 112704901. The next prime is 112704913. The reversal of 112704912 is 219407211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112704913) 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, 136533 + ... + 137355.

It is an arithmetic number, because the mean of its divisors is an integer number (4061496).

Almost surely, 2112704912 is an apocalyptic number.

112704912 is a gapful number since it is divisible by the number (12) 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 112704912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162459840).

112704912 is an abundant number, since it is smaller than the sum of its proper divisors (212214768).

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

112704912 is a wasteful number, since it uses less digits than its factorization.

112704912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 112704912 is about 10616.2569675004. The cubic root of 112704912 is about 483.0376113607.

The spelling of 112704912 in words is "one hundred twelve million, seven hundred four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 317 432 634 823 951 1268 1646 1902 2469 2536 2853 3292 3804 4938 5072 5706 6584 7407 7608 8559 9876 11412 13168 14814 15216 17118 19752 22221 22824 29628 34236 39504 44442 45648 59256 68472 88884 118512 136944 177768 260891 355536 521782 782673 1043564 1565346 2087128 2348019 3130692 4174256 4696038 6261384 7044057 9392076 12522768 14088114 18784152 28176228 37568304 56352456 112704912