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112631232 = 2637181463
BaseRepresentation
bin1101011011010…
…01110111000000
321211221021000010
412231221313000
5212313144412
615102024520
72535230640
oct655516700
9254837003
10112631232
115863956a
1231878140
131a446bcc
1410d5c520
159d4c33c
hex6b69dc0

112631232 has 112 divisors (see below), whose sum is σ = 343196672. Its totient is φ = 31933440.

The previous prime is 112631227. The next prime is 112631237. The reversal of 112631232 is 232136211.

It is an interprime number because it is at equal distance from previous prime (112631227) and next prime (112631237).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112631199 and 112631208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112631237) 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, 243033 + ... + 243495.

It is an arithmetic number, because the mean of its divisors is an integer number (3064256).

Almost surely, 2112631232 is an apocalyptic number.

112631232 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 112631232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171598336).

112631232 is an abundant number, since it is smaller than the sum of its proper divisors (230565440).

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

112631232 is a wasteful number, since it uses less digits than its factorization.

112631232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 656 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 112631232 is about 10612.7862505564. The cubic root of 112631232 is about 482.9323276630.

Adding to 112631232 its reverse (232136211), we get a palindrome (344767443).

The spelling of 112631232 in words is "one hundred twelve million, six hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 181 192 224 336 362 448 463 543 672 724 926 1086 1267 1344 1389 1448 1852 2172 2534 2778 2896 3241 3704 3801 4344 5068 5556 5792 6482 7408 7602 8688 9723 10136 11112 11584 12964 14816 15204 17376 19446 20272 22224 25928 29632 30408 34752 38892 40544 44448 51856 60816 77784 81088 83803 88896 103712 121632 155568 167606 207424 243264 251409 311136 335212 502818 586621 622272 670424 1005636 1173242 1340848 1759863 2011272 2346484 2681696 3519726 4022544 4692968 5363392 7039452 8045088 9385936 14078904 16090176 18771872 28157808 37543744 56315616 112631232