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12107680 = 255135821
BaseRepresentation
bin101110001011…
…111110100000
3211210010121121
4232023332200
511044421210
61111302024
7204625234
oct56137640
924703547
1012107680
11691a752
12407a914
13267c010
1418725c4
1510e26da
hexb8bfa0

12107680 has 48 divisors (see below), whose sum is σ = 30810024. Its totient is φ = 4469760.

The previous prime is 12107677. The next prime is 12107687. The reversal of 12107680 is 8670121.

It can be written as a sum of positive squares in 4 ways, for example, as 9809424 + 2298256 = 3132^2 + 1516^2 .

It is not an unprimeable number, because it can be changed into a prime (12107687) 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 7 ways as a sum of consecutive naturals, for example, 831 + ... + 4990.

Almost surely, 212107680 is an apocalyptic number.

12107680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12107680 is an abundant number, since it is smaller than the sum of its proper divisors (18702344).

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

12107680 is a wasteful number, since it uses less digits than its factorization.

12107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 12107680 is about 3479.6091734561. The cubic root of 12107680 is about 229.6256038657.

The spelling of 12107680 in words is "twelve million, one hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 5821 11642 23284 29105 46568 58210 75673 93136 116420 151346 186272 232840 302692 378365 465680 605384 756730 931360 1210768 1513460 2421536 3026920 6053840 12107680