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112520460 = 223513181797
BaseRepresentation
bin1101011010011…
…10110100001100
321211201122001110
412231032310030
5212301123320
615055412020
72534256663
oct655166414
9254648043
10112520460
1158573318
1231824010
131a408670
1410d2ddda
159d295e0
hex6b4ed0c

112520460 has 96 divisors (see below), whose sum is σ = 341595072. Its totient is φ = 27509760.

The previous prime is 112520459. The next prime is 112520461. The reversal of 112520460 is 64025211.

It is an interprime number because it is at equal distance from previous prime (112520459) and next prime (112520461).

It is a super-2 number, since 2×1125204602 = 25321707837223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112520461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140782 + ... + 141578.

It is an arithmetic number, because the mean of its divisors is an integer number (3558282).

Almost surely, 2112520460 is an apocalyptic number.

112520460 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 112520460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170797536).

112520460 is an abundant number, since it is smaller than the sum of its proper divisors (229074612).

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

112520460 is a wasteful number, since it uses less digits than its factorization.

112520460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 112520460 is about 10607.5661675994. The cubic root of 112520460 is about 482.7739555849.

Adding to 112520460 its reverse (64025211), we get a palindrome (176545671).

The spelling of 112520460 in words is "one hundred twelve million, five hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 181 195 260 362 390 543 724 780 797 905 1086 1594 1810 2172 2353 2391 2715 3188 3620 3985 4706 4782 5430 7059 7970 9412 9564 10361 10860 11765 11955 14118 15940 20722 23530 23910 28236 31083 35295 41444 47060 47820 51805 62166 70590 103610 124332 141180 144257 155415 207220 288514 310830 432771 577028 621660 721285 865542 1442570 1731084 1875341 2163855 2885140 3750682 4327710 5626023 7501364 8655420 9376705 11252046 18753410 22504092 28130115 37506820 56260230 112520460