Search a number
-
+
13776768 = 273211959
BaseRepresentation
bin110100100011…
…011110000000
3221220221011200
4310203132000
512011324033
61211141200
7225046335
oct64433600
927827150
1013776768
11785a765
124744800
132b14945
141b8898c
151322013
hexd23780

13776768 has 48 divisors (see below), whose sum is σ = 39647400. Its totient is φ = 4591872.

The previous prime is 13776757. The next prime is 13776797. The reversal of 13776768 is 86767731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4828 + ... + 7131.

Almost surely, 213776768 is an apocalyptic number.

13776768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13776768 is an abundant number, since it is smaller than the sum of its proper divisors (25870632).

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

13776768 is a wasteful number, since it uses less digits than its factorization.

13776768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11979 (or 11964 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 13776768 is about 3711.7068849789. The cubic root of 13776768 is about 239.7263547781.

The spelling of 13776768 in words is "thirteen million, seven hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11959 23918 35877 47836 71754 95672 107631 143508 191344 215262 287016 382688 430524 574032 765376 861048 1148064 1530752 1722096 2296128 3444192 4592256 6888384 13776768