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112052760 = 23352393907
BaseRepresentation
bin1101010110111…
…00101000011000
321210211212111020
412223130220120
5212141142020
615041402440
72530301301
oct653345030
9253755436
10112052760
1158283996
1231639420
131a2a3811
1410c4b7a8
159c85c40
hex6adca18

112052760 has 64 divisors (see below), whose sum is σ = 337651200. Its totient is φ = 29748096.

The previous prime is 112052749. The next prime is 112052779. The reversal of 112052760 is 67250211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112052760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26727 + ... + 30633.

It is an arithmetic number, because the mean of its divisors is an integer number (5275800).

Almost surely, 2112052760 is an apocalyptic number.

112052760 is a gapful number since it is divisible by the number (10) 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 112052760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168825600).

112052760 is an abundant number, since it is smaller than the sum of its proper divisors (225598440).

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

112052760 is a wasteful number, since it uses less digits than its factorization.

112052760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 112052760 is about 10585.4976264699. The cubic root of 112052760 is about 482.1041308970.

The spelling of 112052760 in words is "one hundred twelve million, fifty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 478 717 956 1195 1434 1912 2390 2868 3585 3907 4780 5736 7170 7814 9560 11721 14340 15628 19535 23442 28680 31256 39070 46884 58605 78140 93768 117210 156280 234420 468840 933773 1867546 2801319 3735092 4668865 5602638 7470184 9337730 11205276 14006595 18675460 22410552 28013190 37350920 56026380 112052760