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13165320 = 2335722239
BaseRepresentation
bin110010001110…
…001100001000
3220202212102110
4302032030020
511332242240
61150102320
7216621600
oct62161410
926685373
1013165320
117482333
1244aa9a0
13295c53c
141a69c00
151250c80
hexc8e308

13165320 has 96 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 3007872.

The previous prime is 13165307. The next prime is 13165337. The reversal of 13165320 is 2356131.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 4761 + ... + 6999.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 213165320 is an apocalyptic number.

13165320 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 13165320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

13165320 is an abundant number, since it is smaller than the sum of its proper divisors (32799480).

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

13165320 is a wasteful number, since it uses less digits than its factorization.

13165320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 13165320 is about 3628.4046080888. The cubic root of 13165320 is about 236.1259980259.

The spelling of 13165320 in words is "thirteen million, one hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2239 2940 4478 5880 6717 8956 11195 13434 15673 17912 22390 26868 31346 33585 44780 47019 53736 62692 67170 78365 89560 94038 109711 125384 134340 156730 188076 219422 235095 268680 313460 329133 376152 438844 470190 548555 626920 658266 877688 940380 1097110 1316532 1645665 1880760 2194220 2633064 3291330 4388440 6582660 13165320