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110673680 = 24513106417
BaseRepresentation
bin1101001100010…
…11111100010000
321201020210202012
412212023330100
5211313024210
614552042052
72512465535
oct646137420
9251223665
10110673680
1157521857
1231093328
1319c0cbb0
14109acd8c
159ab2305
hex698bf10

110673680 has 40 divisors (see below), whose sum is σ = 277112472. Its totient is φ = 40863744.

The previous prime is 110673671. The next prime is 110673691. The reversal of 110673680 is 86376011.

It can be written as a sum of positive squares in 4 ways, for example, as 7772944 + 102900736 = 2788^2 + 10144^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1106736803 (a number of 25 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 52169 + ... + 54248.

Almost surely, 2110673680 is an apocalyptic number.

110673680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110673680 is an abundant number, since it is smaller than the sum of its proper divisors (166438792).

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

110673680 is a wasteful number, since it uses less digits than its factorization.

110673680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106443 (or 106437 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 110673680 is about 10520.1558923811. The cubic root of 110673680 is about 480.1181422156.

The spelling of 110673680 in words is "one hundred ten million, six hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 106417 212834 425668 532085 851336 1064170 1383421 1702672 2128340 2766842 4256680 5533684 6917105 8513360 11067368 13834210 22134736 27668420 55336840 110673680