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112859604 = 2232112131993
BaseRepresentation
bin1101011101000…
…01100111010100
321212100212021100
412232201213110
5212343001404
615110550100
72540201514
oct656414724
9255325240
10112859604
1158785100
1231968330
131a4c6b40
1410dbb844
159d94d39
hex6ba19d4

112859604 has 108 divisors (see below), whose sum is σ = 337867348. Its totient is φ = 31553280.

The previous prime is 112859587. The next prime is 112859609. The reversal of 112859604 is 406958211.

It can be written as a sum of positive squares in 2 ways, for example, as 48024900 + 64834704 = 6930^2 + 8052^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112859609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55632 + ... + 57624.

Almost surely, 2112859604 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 112859604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168933674).

112859604 is an abundant number, since it is smaller than the sum of its proper divisors (225007744).

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

112859604 is a wasteful number, since it uses less digits than its factorization.

112859604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 112859604 is about 10623.5400879368. The cubic root of 112859604 is about 483.2585064768.

The spelling of 112859604 in words is "one hundred twelve million, eight hundred fifty-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 396 429 468 484 572 726 858 1089 1287 1452 1573 1716 1993 2178 2574 3146 3986 4356 4719 5148 5979 6292 7972 9438 11958 14157 17937 18876 21923 23916 25909 28314 35874 43846 51818 56628 65769 71748 77727 87692 103636 131538 155454 197307 233181 241153 263076 284999 310908 394614 466362 482306 569998 723459 789228 854997 932724 964612 1139996 1446918 1709994 2170377 2564991 2893836 3134989 3419988 4340754 5129982 6269978 8681508 9404967 10259964 12539956 18809934 28214901 37619868 56429802 112859604