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13086720 = 21232571
BaseRepresentation
bin110001111011…
…000000000000
3220121212121100
4301323000000
511322233340
61144254400
7216143463
oct61730000
926555540
1013086720
117429279
124471400
13293282a
141a492da
151237830
hexc7b000

13086720 has 156 divisors (see below), whose sum is σ = 46000656. Its totient is φ = 3440640.

The previous prime is 13086713. The next prime is 13086737. The reversal of 13086720 is 2768031.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184285 + ... + 184355.

It is an arithmetic number, because the mean of its divisors is an integer number (294876).

Almost surely, 213086720 is an apocalyptic number.

13086720 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 13086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23000328).

13086720 is an abundant number, since it is smaller than the sum of its proper divisors (32913936).

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

13086720 is an equidigital number, since it uses as much as digits as its factorization.

13086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13086720 is about 3617.5571868320. The cubic root of 13086720 is about 235.6551508486.

The spelling of 13086720 in words is "thirteen million, eighty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 71 72 80 90 96 120 128 142 144 160 180 192 213 240 256 284 288 320 355 360 384 426 480 512 568 576 639 640 710 720 768 852 960 1024 1065 1136 1152 1278 1280 1420 1440 1536 1704 1920 2048 2130 2272 2304 2556 2560 2840 2880 3072 3195 3408 3840 4096 4260 4544 4608 5112 5120 5680 5760 6144 6390 6816 7680 8520 9088 9216 10224 10240 11360 11520 12288 12780 13632 15360 17040 18176 18432 20448 20480 22720 23040 25560 27264 30720 34080 36352 36864 40896 45440 46080 51120 54528 61440 68160 72704 81792 90880 92160 102240 109056 136320 145408 163584 181760 184320 204480 218112 272640 290816 327168 363520 408960 436224 545280 654336 727040 817920 872448 1090560 1308672 1454080 1635840 2181120 2617344 3271680 4362240 6543360 13086720