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13888680 = 23351329307
BaseRepresentation
bin110100111110…
…110010101000
3222010121200120
4310332302220
512023414210
61213403240
7226023531
oct64766250
928117616
1013888680
117926853
124799520
132b53870
141bb7688
151345270
hexd3eca8

13888680 has 128 divisors (see below), whose sum is σ = 46569600. Its totient is φ = 3290112.

The previous prime is 13888669. The next prime is 13888723. The reversal of 13888680 is 8688831.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45087 + ... + 45393.

It is an arithmetic number, because the mean of its divisors is an integer number (363825).

Almost surely, 213888680 is an apocalyptic number.

13888680 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 13888680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23284800).

13888680 is an abundant number, since it is smaller than the sum of its proper divisors (32680920).

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

13888680 is a wasteful number, since it uses less digits than its factorization.

13888680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 13888680 is about 3726.7519370090. The cubic root of 13888680 is about 240.3737232989.

The spelling of 13888680 in words is "thirteen million, eight hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 307 312 348 377 390 435 520 580 614 696 754 780 870 921 1131 1160 1228 1508 1535 1560 1740 1842 1885 2262 2456 3016 3070 3480 3684 3770 3991 4524 4605 5655 6140 7368 7540 7982 8903 9048 9210 11310 11973 12280 15080 15964 17806 18420 19955 22620 23946 26709 31928 35612 36840 39910 44515 45240 47892 53418 59865 71224 79820 89030 95784 106836 115739 119730 133545 159640 178060 213672 231478 239460 267090 347217 356120 462956 478920 534180 578695 694434 925912 1068360 1157390 1388868 1736085 2314780 2777736 3472170 4629560 6944340 13888680