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13986560 = 28572223
BaseRepresentation
bin110101010110…
…101100000000
3222022120221202
4311112230000
512040032220
61215440332
7226612100
oct65265400
928276852
1013986560
117993345
1248260a8
132b89293
141c01200
151364275
hexd56b00

13986560 has 108 divisors (see below), whose sum is σ = 39146688. Its totient is φ = 4773888.

The previous prime is 13986559. The next prime is 13986569. The reversal of 13986560 is 6568931.

It is not an unprimeable number, because it can be changed into a prime (13986569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62609 + ... + 62831.

Almost surely, 213986560 is an apocalyptic number.

13986560 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 13986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19573344).

13986560 is an abundant number, since it is smaller than the sum of its proper divisors (25160128).

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

13986560 is an equidigital number, since it uses as much as digits as its factorization.

13986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 13986560 is about 3739.8609599823. The cubic root of 13986560 is about 240.9370771720.

The spelling of 13986560 in words is "thirteen million, nine hundred eighty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 223 224 245 256 280 320 392 446 448 490 560 640 784 892 896 980 1115 1120 1280 1561 1568 1784 1792 1960 2230 2240 3122 3136 3568 3920 4460 4480 6244 6272 7136 7805 7840 8920 8960 10927 12488 12544 14272 15610 15680 17840 21854 24976 28544 31220 31360 35680 43708 49952 54635 57088 62440 62720 71360 87416 99904 109270 124880 142720 174832 199808 218540 249760 285440 349664 399616 437080 499520 699328 874160 999040 1398656 1748320 1998080 2797312 3496640 6993280 13986560