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112285376 = 267534729
BaseRepresentation
bin1101011000101…
…01011011000000
321211021200120122
412230111123000
5212221113001
615050355412
72532260420
oct654253300
9254250518
10112285376
1158422735
123172bb68
131a355668
1410cac480
159cceb1b
hex6b156c0

112285376 has 56 divisors (see below), whose sum is σ = 259506720. Its totient is φ = 47204352.

The previous prime is 112285373. The next prime is 112285387. The reversal of 112285376 is 673582211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1122853762 = 25216011326922752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112285373) 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, 21380 + ... + 26108.

Almost surely, 2112285376 is an apocalyptic number.

112285376 is a gapful number since it is divisible by the number (16) 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 112285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129753360).

112285376 is an abundant number, since it is smaller than the sum of its proper divisors (147221344).

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

112285376 is an equidigital number, since it uses as much as digits as its factorization.

112285376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801 (or 4791 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 112285376 is about 10596.4794153530. The cubic root of 112285376 is about 482.4375084396.

The spelling of 112285376 in words is "one hundred twelve million, two hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3392 4729 5936 9458 11872 18916 23744 33103 37832 66206 75664 132412 151328 250637 264824 302656 501274 529648 1002548 1059296 1754459 2005096 2118592 3508918 4010192 7017836 8020384 14035672 16040768 28071344 56142688 112285376