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112245696 = 2633173821
BaseRepresentation
bin1101011000010…
…11101111000000
321211012200011000
412230023233000
5212213330241
615045452000
72532033633
oct654135700
9254180130
10112245696
11583a5942
1231711000
131a340594
1410c9bc1a
159cc2eb6
hex6b0bbc0

112245696 has 112 divisors (see below), whose sum is σ = 349483680. Its totient is φ = 35205120.

The previous prime is 112245667. The next prime is 112245701. The reversal of 112245696 is 696542211.

112245696 is a `hidden beast` number, since 112 + 2 + 456 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112245696.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 27466 + ... + 31286.

It is an arithmetic number, because the mean of its divisors is an integer number (3120390).

Almost surely, 2112245696 is an apocalyptic number.

112245696 is a gapful number since it is divisible by the number (16) 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 112245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174741840).

112245696 is an abundant number, since it is smaller than the sum of its proper divisors (237237984).

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

112245696 is a wasteful number, since it uses less digits than its factorization.

112245696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3843 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 112245696 is about 10594.6069299432. The cubic root of 112245696 is about 482.3806729714.

The spelling of 112245696 in words is "one hundred twelve million, two hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 3821 4896 7344 7642 9792 11463 14688 15284 22926 29376 30568 34389 45852 61136 64957 68778 91704 103167 122272 129914 137556 183408 194871 206334 244544 259828 275112 366816 389742 412668 519656 550224 584613 733632 779484 825336 1039312 1100448 1169226 1558968 1650672 1753839 2078624 2200896 2338452 3117936 3301344 3507678 4157248 4676904 6235872 6602688 7015356 9353808 12471744 14030712 18707616 28061424 37415232 56122848 112245696