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12755160 = 23325113221
BaseRepresentation
bin110000101010…
…000011011000
3220000000210100
4300222003120
511231131120
61133215400
7213263025
oct60520330
926000710
1012755160
117222160
124331560
132847942
1419a054c
1511be490
hexc2a0d8

12755160 has 96 divisors (see below), whose sum is σ = 45236880. Its totient is φ = 3091200.

The previous prime is 12755153. The next prime is 12755201. The reversal of 12755160 is 6155721.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2350 + ... + 5570.

Almost surely, 212755160 is an apocalyptic number.

12755160 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 12755160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22618440).

12755160 is an abundant number, since it is smaller than the sum of its proper divisors (32481720).

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

12755160 is a wasteful number, since it uses less digits than its factorization.

12755160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 12755160 is about 3571.4366857051. The cubic root of 12755160 is about 233.6479474826.

The spelling of 12755160 in words is "twelve million, seven hundred fifty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3221 3960 6442 9663 12884 16105 19326 25768 28989 32210 35431 38652 48315 57978 64420 70862 77304 96630 106293 115956 128840 141724 144945 177155 193260 212586 231912 283448 289890 318879 354310 386520 425172 531465 579780 637758 708620 850344 1062930 1159560 1275516 1417240 1594395 2125860 2551032 3188790 4251720 6377580 12755160