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112287672 = 23327222793
BaseRepresentation
bin1101011000101…
…01111110111000
321211021210201200
412230111332320
5212221201142
615050414200
72532300210
oct654257670
9254253650
10112287672
1158424432
1231731360
131a356713
1410cad240
159cd064c
hex6b15fb8

112287672 has 48 divisors (see below), whose sum is σ = 347558640. Its totient is φ = 32082048.

The previous prime is 112287671. The next prime is 112287689. The reversal of 112287672 is 276782211.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112287671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110893 + ... + 111900.

It is an arithmetic number, because the mean of its divisors is an integer number (7240805).

Almost surely, 2112287672 is an apocalyptic number.

112287672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112287672 is an abundant number, since it is smaller than the sum of its proper divisors (235270968).

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

112287672 is a wasteful number, since it uses less digits than its factorization.

112287672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222812 (or 222805 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 112287672 is about 10596.5877526683. The cubic root of 112287672 is about 482.4407966949.

The spelling of 112287672 in words is "one hundred twelve million, two hundred eighty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 222793 445586 668379 891172 1336758 1559551 1782344 2005137 2673516 3119102 4010274 4678653 5347032 6238204 8020548 9357306 12476408 14035959 16041096 18714612 28071918 37429224 56143836 112287672