Search a number
-
+
13539936 = 253141041
BaseRepresentation
bin110011101001…
…101001100000
3221110220022010
4303221221200
511431234221
61202112520
7223042014
oct63515140
927426263
1013539936
117708833
12464b740
132a60bc7
141b26544
1512c6c76
hexce9a60

13539936 has 24 divisors (see below), whose sum is σ = 35542584. Its totient is φ = 4513280.

The previous prime is 13539931. The next prime is 13539941. The reversal of 13539936 is 63993531.

It is an interprime number because it is at equal distance from previous prime (13539931) and next prime (13539941).

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 13539894 and 13539903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13539931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70425 + ... + 70616.

It is an arithmetic number, because the mean of its divisors is an integer number (1480941).

Almost surely, 213539936 is an apocalyptic number.

13539936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13539936 is an abundant number, since it is smaller than the sum of its proper divisors (22002648).

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

13539936 is a wasteful number, since it uses less digits than its factorization.

13539936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141054 (or 141046 counting only the distinct ones).

The product of its digits is 65610, while the sum is 39.

The square root of 13539936 is about 3679.6652021617. The cubic root of 13539936 is about 238.3447209038.

The spelling of 13539936 in words is "thirteen million, five hundred thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 141041 282082 423123 564164 846246 1128328 1692492 2256656 3384984 4513312 6769968 13539936