Search a number
-
+
13687680 = 27357129
BaseRepresentation
bin110100001101…
…101110000000
3221202101222010
4310031232000
512001001210
61205212520
7224225526
oct64155600
927671863
1013687680
1177a9836
124701140
132ab3226
141b64316
151305920
hexd0db80

13687680 has 64 divisors (see below), whose sum is σ = 43635600. Its totient is φ = 3649536.

The previous prime is 13687649. The next prime is 13687693. The reversal of 13687680 is 8678631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 1645 + ... + 5484.

Almost surely, 213687680 is an apocalyptic number.

13687680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13687680 is an abundant number, since it is smaller than the sum of its proper divisors (29947920).

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

13687680 is an equidigital number, since it uses as much as digits as its factorization.

13687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7151 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 13687680 is about 3699.6864732028. The cubic root of 13687680 is about 239.2085037040.

The spelling of 13687680 in words is "thirteen million, six hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 7129 14258 21387 28516 35645 42774 57032 71290 85548 106935 114064 142580 171096 213870 228128 285160 342192 427740 456256 570320 684384 855480 912512 1140640 1368768 1710960 2281280 2737536 3421920 4562560 6843840 13687680