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13308680 = 23571129149
BaseRepresentation
bin110010110001…
…001100001000
3221001011002002
4302301030020
511401334210
61153130132
7221056550
oct62611410
927034062
1013308680
117570010
124559948
1329ac878
141aa6160
15127d4a5
hexcb1308

13308680 has 128 divisors (see below), whose sum is σ = 38880000. Its totient is φ = 3978240.

The previous prime is 13308677. The next prime is 13308707. The reversal of 13308680 is 8680331.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent 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, 89246 + ... + 89394.

It is an arithmetic number, because the mean of its divisors is an integer number (303750).

Almost surely, 213308680 is an apocalyptic number.

13308680 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 13308680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440000).

13308680 is an abundant number, since it is smaller than the sum of its proper divisors (25571320).

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

13308680 is a wasteful number, since it uses less digits than its factorization.

13308680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 13308680 is about 3648.1063580987. The cubic root of 13308680 is about 236.9799813365.

The spelling of 13308680 in words is "thirteen million, three hundred eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 29 35 40 44 55 56 58 70 77 88 110 116 140 145 149 154 203 220 232 280 290 298 308 319 385 406 440 580 596 616 638 745 770 812 1015 1043 1160 1192 1276 1490 1540 1595 1624 1639 2030 2086 2233 2552 2980 3080 3190 3278 4060 4172 4321 4466 5215 5960 6380 6556 8120 8195 8344 8642 8932 10430 11165 11473 12760 13112 16390 17284 17864 20860 21605 22330 22946 30247 32780 34568 41720 43210 44660 45892 47531 57365 60494 65560 86420 89320 91784 95062 114730 120988 151235 172840 190124 229460 237655 241976 302470 332717 380248 458920 475310 604940 665434 950620 1209880 1330868 1663585 1901240 2661736 3327170 6654340 13308680