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110968656 = 24317239569
BaseRepresentation
bin1101001110100…
…11111101010000
321201210210101020
412213103331100
5211401444111
615002235440
72515134531
oct647237520
9251723336
10110968656
1157703437
12311b5b80
1319cb4236
1410a48688
159b1e906
hex69d3f50

110968656 has 80 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 34607104.

The previous prime is 110968643. The next prime is 110968667. The reversal of 110968656 is 656869011.

It is a happy number.

It is a super-2 number, since 2×1109686562 = 24628085228892672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194740 + ... + 195308.

It is an arithmetic number, because the mean of its divisors is an integer number (3816720).

Almost surely, 2110968656 is an apocalyptic number.

110968656 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 110968656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

110968656 is an abundant number, since it is smaller than the sum of its proper divisors (194368944).

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

110968656 is a wasteful number, since it uses less digits than its factorization.

110968656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 110968656 is about 10534.1661274161. The cubic root of 110968656 is about 480.5443130791.

The spelling of 110968656 in words is "one hundred ten million, nine hundred sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 239 272 408 478 569 717 816 956 1138 1434 1707 1912 2276 2868 3414 3824 4063 4552 5736 6828 8126 9104 9673 11472 12189 13656 16252 19346 24378 27312 29019 32504 38692 48756 58038 65008 77384 97512 116076 135991 154768 195024 232152 271982 407973 464304 543964 815946 1087928 1631892 2175856 2311847 3263784 4623694 6527568 6935541 9247388 13871082 18494776 27742164 36989552 55484328 110968656