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13314560 = 2957743
BaseRepresentation
bin110010110010…
…101000000000
3221001110010212
4302302220000
511402031220
61153213252
7221112650
oct62625000
927043125
1013314560
117574476
124561228
1329b244c
141aa8360
1512800c5
hexcb2a00

13314560 has 80 divisors (see below), whose sum is σ = 36533376. Its totient is φ = 4558848.

The previous prime is 13314517. The next prime is 13314571. The reversal of 13314560 is 6541331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17549 + ... + 18291.

Almost surely, 213314560 is an apocalyptic number.

13314560 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 13314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18266688).

13314560 is an abundant number, since it is smaller than the sum of its proper divisors (23218816).

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

13314560 is an frugal number, since it uses more digits than its factorization.

13314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 13314560 is about 3648.9121666601. The cubic root of 13314560 is about 237.0148767864.

Adding to 13314560 its reverse (6541331), we get a palindrome (19855891).

The spelling of 13314560 in words is "thirteen million, three hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 743 896 1120 1280 1486 1792 2240 2560 2972 3584 3715 4480 5201 5944 7430 8960 10402 11888 14860 17920 20804 23776 26005 29720 41608 47552 52010 59440 83216 95104 104020 118880 166432 190208 208040 237760 332864 380416 416080 475520 665728 832160 951040 1331456 1664320 1902080 2662912 3328640 6657280 13314560