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13266960 = 2435753149
BaseRepresentation
bin110010100111…
…000000010000
3220222000211220
4302213000100
511344020320
61152205040
7220524120
oct62470020
926860756
1013266960
117541733
124539780
132996895
141a94c80
151270e40
hexca7010

13266960 has 160 divisors (see below), whose sum is σ = 48211200. Its totient is φ = 2955264.

The previous prime is 13266937. The next prime is 13267031. The reversal of 13266960 is 6966231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88966 + ... + 89114.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 213266960 is an apocalyptic number.

13266960 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 13266960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

13266960 is an abundant number, since it is smaller than the sum of its proper divisors (34944240).

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

13266960 is a wasteful number, since it uses less digits than its factorization.

13266960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 13266960 is about 3642.3838347983. The cubic root of 13266960 is about 236.7320941459.

The spelling of 13266960 in words is "thirteen million, two hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 149 159 168 210 212 240 265 280 298 318 336 371 420 424 447 530 560 596 636 742 745 795 840 848 894 1043 1060 1113 1192 1272 1484 1490 1590 1680 1788 1855 2086 2120 2226 2235 2384 2544 2968 2980 3129 3180 3576 3710 4172 4240 4452 4470 5215 5565 5936 5960 6258 6360 7152 7420 7897 8344 8904 8940 10430 11130 11920 12516 12720 14840 15645 15794 16688 17808 17880 20860 22260 23691 25032 29680 31290 31588 35760 39485 41720 44520 47382 50064 55279 62580 63176 78970 83440 89040 94764 110558 118455 125160 126352 157940 165837 189528 221116 236910 250320 276395 315880 331674 379056 442232 473820 552790 631760 663348 829185 884464 947640 1105580 1326696 1658370 1895280 2211160 2653392 3316740 4422320 6633480 13266960