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13159680 = 283523149
BaseRepresentation
bin110010001100…
…110100000000
3220202120200120
4302030310000
511332102210
61150020240
7216566262
oct62146400
926676616
1013159680
117479076
1244a7680
132959ac1
141a67b32
15124e270
hexc8cd00

13159680 has 144 divisors (see below), whose sum is σ = 44150400. Its totient is φ = 3334144.

The previous prime is 13159673. The next prime is 13159687. The reversal of 13159680 is 8695131.

It is an interprime number because it is at equal distance from previous prime (13159673) and next prime (13159687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13159687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88246 + ... + 88394.

It is an arithmetic number, because the mean of its divisors is an integer number (306600).

Almost surely, 213159680 is an apocalyptic number.

13159680 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 13159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22075200).

13159680 is an abundant number, since it is smaller than the sum of its proper divisors (30990720).

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

13159680 is a wasteful number, since it uses less digits than its factorization.

13159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 13159680 is about 3627.6273237476. The cubic root of 13159680 is about 236.0922745552.

The spelling of 13159680 in words is "thirteen million, one hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 149 160 184 192 230 240 256 276 298 320 345 368 384 447 460 480 552 596 640 690 736 745 768 894 920 960 1104 1192 1280 1380 1472 1490 1788 1840 1920 2208 2235 2384 2760 2944 2980 3427 3576 3680 3840 4416 4470 4768 5520 5888 5960 6854 7152 7360 8832 8940 9536 10281 11040 11920 13708 14304 14720 17135 17664 17880 19072 20562 22080 23840 27416 28608 29440 34270 35760 38144 41124 44160 47680 51405 54832 57216 68540 71520 82248 88320 95360 102810 109664 114432 137080 143040 164496 190720 205620 219328 274160 286080 328992 411240 438656 548320 572160 657984 822480 877312 1096640 1315968 1644960 2193280 2631936 3289920 4386560 6579840 13159680