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13392873 = 32131131013
BaseRepresentation
bin110011000101…
…101111101001
3221012102120100
4303011233221
511412032443
61155020013
7221560164
oct63055751
927172510
1013392873
11761829a
12459a609
132a0bca0
141ac8adb
1512983d3
hexcc5be9

13392873 has 24 divisors (see below), whose sum is σ = 21038472. Its totient is φ = 8160768.

The previous prime is 13392871. The next prime is 13392901. The reversal of 13392873 is 37829331.

It is a happy number.

13392873 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3069504 + 10323369 = 1752^2 + 3213^2 .

It is not a de Polignac number, because 13392873 - 21 = 13392871 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13392871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12715 + ... + 13727.

It is an arithmetic number, because the mean of its divisors is an integer number (876603).

Almost surely, 213392873 is an apocalyptic number.

13392873 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13392873 is a deficient number, since it is larger than the sum of its proper divisors (7645599).

13392873 is a wasteful number, since it uses less digits than its factorization.

13392873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1142 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 13392873 is about 3659.6274400545. The cubic root of 13392873 is about 237.4786566231.

The spelling of 13392873 in words is "thirteen million, three hundred ninety-two thousand, eight hundred seventy-three".

Divisors: 1 3 9 13 39 113 117 339 1013 1017 1469 3039 4407 9117 13169 13221 39507 114469 118521 343407 1030221 1488097 4464291 13392873