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110807144 = 2372931271
BaseRepresentation
bin1101001101011…
…00100001101000
321201111120211022
412212230201220
5211331312034
614554552012
72513562620
oct646544150
9251446738
10110807144
1157603058
1231138608
1319c58876
1410a05880
159adbb2e
hex69ac868

110807144 has 96 divisors (see below), whose sum is σ = 257385600. Its totient is φ = 43747200.

The previous prime is 110807141. The next prime is 110807219. The reversal of 110807144 is 441708011.

It is a super-2 number, since 2×1108071442 = 24556446322873472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110807141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1560629 + ... + 1560699.

It is an arithmetic number, because the mean of its divisors is an integer number (2681100).

Almost surely, 2110807144 is an apocalyptic number.

110807144 is a gapful number since it is divisible by the number (14) 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 110807144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128692800).

110807144 is an abundant number, since it is smaller than the sum of its proper divisors (146578456).

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

110807144 is a wasteful number, since it uses less digits than its factorization.

110807144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 110807144 is about 10526.4972331731. The cubic root of 110807144 is about 480.3110599508.

The spelling of 110807144 in words is "one hundred ten million, eight hundred seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 29 31 56 58 62 71 116 124 142 203 217 232 248 284 406 434 497 568 812 868 899 961 994 1624 1736 1798 1922 1988 2059 2201 3596 3844 3976 4118 4402 6293 6727 7192 7688 8236 8804 12586 13454 14413 15407 16472 17608 25172 26908 27869 28826 30814 50344 53816 55738 57652 61628 63829 68231 111476 115304 123256 127658 136462 195083 222952 255316 272924 390166 446803 477617 510632 545848 780332 893606 955234 1560664 1787212 1910468 1978699 3574424 3820936 3957398 7914796 13850893 15829592 27701786 55403572 110807144