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112525020 = 223252332683
BaseRepresentation
bin1101011010011…
…11111011011100
321211201212022100
412231033323130
5212301300040
615055445100
72534306166
oct655177334
9254655270
10112525020
1158576793
1231826790
131a40a76a
1410d31936
159d2ab30
hex6b4fedc

112525020 has 72 divisors (see below), whose sum is σ = 342918576. Its totient is φ = 29866752.

The previous prime is 112525013. The next prime is 112525027. The reversal of 112525020 is 20525211.

112525020 is a `hidden beast` number, since 112 + 52 + 502 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112525013) and next prime (112525027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112524984 and 112525002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112525027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40599 + ... + 43281.

It is an arithmetic number, because the mean of its divisors is an integer number (4762758).

Almost surely, 2112525020 is an apocalyptic number.

112525020 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 112525020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171459288).

112525020 is an abundant number, since it is smaller than the sum of its proper divisors (230393556).

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

112525020 is a wasteful number, since it uses less digits than its factorization.

112525020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 112525020 is about 10607.7811063389. The cubic root of 112525020 is about 482.7804771233.

The spelling of 112525020 in words is "one hundred twelve million, five hundred twenty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 466 699 932 1165 1398 2097 2330 2683 2796 3495 4194 4660 5366 6990 8049 8388 10485 10732 13415 13980 16098 20970 24147 26830 32196 40245 41940 48294 53660 80490 96588 120735 160980 241470 482940 625139 1250278 1875417 2500556 3125695 3750834 5626251 6251390 7501668 9377085 11252502 12502780 18754170 22505004 28131255 37508340 56262510 112525020