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112959424 = 2617473
BaseRepresentation
bin1101011101110…
…01111111000000
321212112221012101
412232321333000
5212404200144
615113040144
72541065524
oct656717700
9255487171
10112959424
11588430a6
12319b6054
131a5303c6
1411005d84
159db46d4
hex6bb9fc0

112959424 has 56 divisors (see below), whose sum is σ = 242498880. Its totient is φ = 52026368.

The previous prime is 112959421. The next prime is 112959439. The reversal of 112959424 is 424959211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112959421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2403369 + ... + 2403415.

Almost surely, 2112959424 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 112959424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121249440).

112959424 is an abundant number, since it is smaller than the sum of its proper divisors (129539456).

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

112959424 is an frugal number, since it uses more digits than its factorization.

112959424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 66 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 112959424 is about 10628.2371068771. The cubic root of 112959424 is about 483.4009390437.

The spelling of 112959424 in words is "one hundred twelve million, nine hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 136 188 272 376 544 752 799 1088 1504 1598 2209 3008 3196 4418 6392 8836 12784 17672 25568 35344 37553 51136 70688 75106 103823 141376 150212 207646 300424 415292 600848 830584 1201696 1661168 1764991 2403392 3322336 3529982 6644672 7059964 14119928 28239856 56479712 112959424