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112588404 = 223233113159
BaseRepresentation
bin1101011010111…
…11011001110100
321211212002020220
412231133121310
5212310312104
615101054340
72534662035
oct655373164
9254762226
10112588404
115860a375
12318573b0
131a430576
1410d4aa8c
159d3e7d9
hex6b5f674

112588404 has 48 divisors (see below), whose sum is σ = 282992640. Its totient is φ = 34737120.

The previous prime is 112588397. The next prime is 112588409. The reversal of 112588404 is 404885211.

It is a super-2 number, since 2×1125884042 = 25352297430534432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112588409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1977 + ... + 15135.

It is an arithmetic number, because the mean of its divisors is an integer number (5895680).

Almost surely, 2112588404 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 112588404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141496320).

112588404 is an abundant number, since it is smaller than the sum of its proper divisors (170404236).

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

112588404 is a wasteful number, since it uses less digits than its factorization.

112588404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13220 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 112588404 is about 10610.7683039448. The cubic root of 112588404 is about 482.8711082674.

The spelling of 112588404 in words is "one hundred twelve million, five hundred eighty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2852 4278 8556 13159 26318 39477 52636 78954 157908 302657 407929 605314 815858 907971 1210628 1223787 1631716 1815942 2447574 3631884 4895148 9382367 18764734 28147101 37529468 56294202 112588404