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107076560 = 2451338457
BaseRepresentation
bin1100110000111…
…01101111010000
321110111001102112
412120131233100
5204402422220
614343004452
72440064363
oct630355720
9243431375
10107076560
1155495228
122ba39728
1319250816
14103140da
1596015c5
hex661dbd0

107076560 has 20 divisors (see below), whose sum is σ = 248953188. Its totient is φ = 42830592.

The previous prime is 107076551. The next prime is 107076583. The reversal of 107076560 is 65670701.

It can be written as a sum of positive squares in 2 ways, for example, as 67436944 + 39639616 = 8212^2 + 6296^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1070765602 = 22930779402867200, 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 3 ways as a sum of consecutive naturals, for example, 669149 + ... + 669308.

Almost surely, 2107076560 is an apocalyptic number.

107076560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107076560 is an abundant number, since it is smaller than the sum of its proper divisors (141876628).

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

107076560 is a wasteful number, since it uses less digits than its factorization.

107076560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338470 (or 1338464 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 107076560 is about 10347.7804383356. The cubic root of 107076560 is about 474.8591419825.

The spelling of 107076560 in words is "one hundred seven million, seventy-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1338457 2676914 5353828 6692285 10707656 13384570 21415312 26769140 53538280 107076560