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13165880 = 2357133617
BaseRepresentation
bin110010001110…
…010100111000
3220202220012012
4302032110320
511332302010
61150105052
7216623330
oct62162470
926686165
1013165880
1174827a2
1244ab188
13295c880
141a6a0c0
151251005
hexc8e538

13165880 has 64 divisors (see below), whose sum is σ = 36469440. Its totient is φ = 4165632.

The previous prime is 13165861. The next prime is 13165883. The reversal of 13165880 is 8856131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13165883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1832 + ... + 5448.

It is an arithmetic number, because the mean of its divisors is an integer number (569835).

Almost surely, 213165880 is an apocalyptic number.

13165880 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 13165880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18234720).

13165880 is an abundant number, since it is smaller than the sum of its proper divisors (23303560).

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

13165880 is a wasteful number, since it uses less digits than its factorization.

13165880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 13165880 is about 3628.4817761703. The cubic root of 13165880 is about 236.1293459299.

The spelling of 13165880 in words is "thirteen million, one hundred sixty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3617 3640 7234 14468 18085 25319 28936 36170 47021 50638 72340 94042 101276 126595 144680 188084 202552 235105 253190 329147 376168 470210 506380 658294 940420 1012760 1316588 1645735 1880840 2633176 3291470 6582940 13165880