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112660944 = 24311316883
BaseRepresentation
bin1101011011100…
…01000111010000
321211222202202120
412231301013100
5212320122234
615102414240
72535413364
oct655610720
9254882676
10112660944
1158659920
1231891380
131a4575a6
1410d692a4
159d56049
hex6b711d0

112660944 has 80 divisors (see below), whose sum is σ = 327788544. Its totient is φ = 33033600.

The previous prime is 112660943. The next prime is 112660957. The reversal of 112660944 is 449066211.

It is a super-2 number, since 2×1126609442 = 25384976605942272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112660943) by changing a digit.

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, 12927 + ... + 19809.

Almost surely, 2112660944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112660944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163894272).

112660944 is an abundant number, since it is smaller than the sum of its proper divisors (215127600).

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

112660944 is a wasteful number, since it uses less digits than its factorization.

112660944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 112660944 is about 10614.1859791507. The cubic root of 112660944 is about 482.9747896087.

The spelling of 112660944 in words is "one hundred twelve million, six hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5456 6883 8184 13766 16368 20649 27532 41298 55064 75713 82596 110128 151426 165192 213373 227139 302852 330384 426746 454278 605704 640119 853492 908556 1211408 1280238 1706984 1817112 2347103 2560476 3413968 3634224 4694206 5120952 7041309 9388412 10241904 14082618 18776824 28165236 37553648 56330472 112660944