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112375080 = 23335671553
BaseRepresentation
bin1101011001010…
…11010100101000
321211110020122000
412230223110220
5212232000310
615052331000
72533113066
oct654532450
9254406560
10112375080
1158484074
1231773a60
131a38743c
1410cd3036
159ceb4c0
hex6b2b528

112375080 has 128 divisors (see below), whose sum is σ = 380419200. Its totient is φ = 29500416.

The previous prime is 112375057. The next prime is 112375097. The reversal of 112375080 is 80573211.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 71584 + ... + 73136.

It is an arithmetic number, because the mean of its divisors is an integer number (2972025).

Almost surely, 2112375080 is an apocalyptic number.

112375080 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 112375080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190209600).

112375080 is an abundant number, since it is smaller than the sum of its proper divisors (268044120).

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

112375080 is a wasteful number, since it uses less digits than its factorization.

112375080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 112375080 is about 10600.7112968895. The cubic root of 112375080 is about 482.5659462245.

The spelling of 112375080 in words is "one hundred twelve million, three hundred seventy-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 90 108 120 134 135 180 201 216 268 270 335 360 402 536 540 603 670 804 1005 1080 1206 1340 1553 1608 1809 2010 2412 2680 3015 3106 3618 4020 4659 4824 6030 6212 7236 7765 8040 9045 9318 12060 12424 13977 14472 15530 18090 18636 23295 24120 27954 31060 36180 37272 41931 46590 55908 62120 69885 72360 83862 93180 104051 111816 139770 167724 186360 208102 209655 279540 312153 335448 416204 419310 520255 559080 624306 832408 838620 936459 1040510 1248612 1560765 1677240 1872918 2081020 2497224 2809377 3121530 3745836 4162040 4682295 5618754 6243060 7491672 9364590 11237508 12486120 14046885 18729180 22475016 28093770 37458360 56187540 112375080