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12665360 = 245315107
BaseRepresentation
bin110000010100…
…001000010000
3212211110121102
4300110020100
511220242420
61131243532
7212440151
oct60241020
925743542
1012665360
117170744
1242a95a8
132815ac6
141979928
1511a2a75
hexc14210

12665360 has 40 divisors (see below), whose sum is σ = 30402816. Its totient is φ = 4901760.

The previous prime is 12665311. The next prime is 12665363. The reversal of 12665360 is 6356621.

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

It is a super-2 number, since 2×126653602 = 320822687859200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12665363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74 + ... + 5033.

Almost surely, 212665360 is an apocalyptic number.

12665360 is a gapful number since it is divisible by the number (10) 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 12665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201408).

12665360 is an abundant number, since it is smaller than the sum of its proper divisors (17737456).

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

12665360 is a wasteful number, since it uses less digits than its factorization.

12665360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 12665360 is about 3558.8425084569. The cubic root of 12665360 is about 233.0983393768.

The spelling of 12665360 in words is "twelve million, six hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 5107 10214 20428 25535 40856 51070 81712 102140 158317 204280 316634 408560 633268 791585 1266536 1583170 2533072 3166340 6332680 12665360