Search a number
-
+
13768860 = 2235732783
BaseRepresentation
bin110100100001…
…100010011100
3221220112022210
4310201202130
512011100420
61211040420
7225014310
oct64414234
927815283
1013768860
117854826
124740110
132b11171
141b85b40
15131e9e0
hexd2189c

13768860 has 48 divisors (see below), whose sum is σ = 44061696. Its totient is φ = 3147072.

The previous prime is 13768849. The next prime is 13768871. The reversal of 13768860 is 6886731.

It is an interprime number because it is at equal distance from previous prime (13768849) and next prime (13768871).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15972 + ... + 16811.

It is an arithmetic number, because the mean of its divisors is an integer number (917952).

Almost surely, 213768860 is an apocalyptic number.

13768860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13768860 is an abundant number, since it is smaller than the sum of its proper divisors (30292836).

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

13768860 is a wasteful number, since it uses less digits than its factorization.

13768860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32802 (or 32800 counting only the distinct ones).

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

The square root of 13768860 is about 3710.6414539807. The cubic root of 13768860 is about 239.6804775725.

The spelling of 13768860 in words is "thirteen million, seven hundred sixty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 32783 65566 98349 131132 163915 196698 229481 327830 393396 458962 491745 655660 688443 917924 983490 1147405 1376886 1966980 2294810 2753772 3442215 4589620 6884430 13768860