Search a number
-
+
13768292 = 2237412269
BaseRepresentation
bin110100100001…
…011001100100
3221220111112202
4310201121210
512011041132
61211034032
7225012536
oct64413144
927814482
1013768292
11785435a
12473b918
132b10b25
141b85856
15131e762
hexd21664

13768292 has 24 divisors (see below), whose sum is σ = 25360440. Its totient is φ = 6531840.

The previous prime is 13768291. The next prime is 13768303. The reversal of 13768292 is 29286731.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 13734436 = 184^2 + 3706^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13768291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4934 + ... + 7202.

It is an arithmetic number, because the mean of its divisors is an integer number (1056685).

Almost surely, 213768292 is an apocalyptic number.

It is an amenable number.

13768292 is a deficient number, since it is larger than the sum of its proper divisors (11592148).

13768292 is a wasteful number, since it uses less digits than its factorization.

13768292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2349 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 13768292 is about 3710.5649165592. The cubic root of 13768292 is about 239.6771817203.

The spelling of 13768292 in words is "thirteen million, seven hundred sixty-eight thousand, two hundred ninety-two".

Divisors: 1 2 4 37 41 74 82 148 164 1517 2269 3034 4538 6068 9076 83953 93029 167906 186058 335812 372116 3442073 6884146 13768292