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112142826 = 23319293769
BaseRepresentation
bin1101010111100…
…10100111101010
321211000110001000
412223302213222
5212202032301
615043335430
72531125005
oct653624752
9254013030
10112142826
1158335624
1231681576
131a305803
1410c7253c
159ca2786
hex6af29ea

112142826 has 64 divisors (see below), whose sum is σ = 271440000. Its totient is φ = 34183296.

The previous prime is 112142809. The next prime is 112142861. The reversal of 112142826 is 628241211.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112142826.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27870 + ... + 31638.

It is an arithmetic number, because the mean of its divisors is an integer number (4241250).

Almost surely, 2112142826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112142826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135720000).

112142826 is an abundant number, since it is smaller than the sum of its proper divisors (159297174).

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

112142826 is a wasteful number, since it uses less digits than its factorization.

112142826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3822 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 112142826 is about 10589.7509885738. The cubic root of 112142826 is about 482.2332651909.

The spelling of 112142826 in words is "one hundred twelve million, one hundred forty-two thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 29 38 54 57 58 87 114 171 174 261 342 513 522 551 783 1026 1102 1566 1653 3306 3769 4959 7538 9918 11307 14877 22614 29754 33921 67842 71611 101763 109301 143222 203526 214833 218602 327903 429666 644499 655806 983709 1288998 1933497 1967418 2076719 2951127 3866994 4153438 5902254 6230157 12460314 18690471 37380942 56071413 112142826