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112477640 = 235111012531
BaseRepresentation
bin1101011010001…
…00010111001000
321211122110022112
412231010113020
5212243241030
615054441452
72534021102
oct655042710
9254573275
10112477640
1158544130
1231803288
131a3c2022
1410d1c572
159d1ba95
hex6b445c8

112477640 has 64 divisors (see below), whose sum is σ = 278925120. Its totient is φ = 40480000.

The previous prime is 112477633. The next prime is 112477649. The reversal of 112477640 is 46774211.

It is a junction number, because it is equal to n+sod(n) for n = 112477597 and 112477606.

It is not an unprimeable number, because it can be changed into a prime (112477649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43175 + ... + 45705.

It is an arithmetic number, because the mean of its divisors is an integer number (4358205).

Almost surely, 2112477640 is an apocalyptic number.

112477640 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 112477640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139462560).

112477640 is an abundant number, since it is smaller than the sum of its proper divisors (166447480).

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

112477640 is a wasteful number, since it uses less digits than its factorization.

112477640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 112477640 is about 10605.5476049094. The cubic root of 112477640 is about 482.7127074538.

The spelling of 112477640 in words is "one hundred twelve million, four hundred seventy-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 2531 4040 4444 5062 5555 8888 10124 11110 12655 20248 22220 25310 27841 44440 50620 55682 101240 111364 139205 222728 255631 278410 511262 556820 1022524 1113640 1278155 2045048 2556310 2811941 5112620 5623882 10225240 11247764 14059705 22495528 28119410 56238820 112477640