Search a number
-
+
13539357 = 3213971193
BaseRepresentation
bin110011101001…
…100000011101
3221110212111200
4303221200131
511431224412
61202110113
7223040226
oct63514035
927425450
1013539357
117708357
12464b339
132a60870
141b2624d
1512c69dc
hexce981d

13539357 has 24 divisors (see below), whose sum is σ = 21296184. Its totient is φ = 8239104.

The previous prime is 13539329. The next prime is 13539359. The reversal of 13539357 is 75393531.

It is a happy number.

13539357 is digitally balanced in base 2 and base 4, because in such bases 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 427716 + 13111641 = 654^2 + 3621^2 .

It is not a de Polignac number, because 13539357 - 28 = 13539101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13539359) 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, 10753 + ... + 11945.

It is an arithmetic number, because the mean of its divisors is an integer number (887341).

Almost surely, 213539357 is an apocalyptic number.

It is an amenable number.

13539357 is a deficient number, since it is larger than the sum of its proper divisors (7756827).

13539357 is a wasteful number, since it uses less digits than its factorization.

13539357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1306 counting only the distinct ones).

The product of its digits is 42525, while the sum is 36.

The square root of 13539357 is about 3679.5865256846. The cubic root of 13539357 is about 238.3413234589.

The spelling of 13539357 in words is "thirteen million, five hundred thirty-nine thousand, three hundred fifty-seven".

Divisors: 1 3 9 13 39 97 117 291 873 1193 1261 3579 3783 10737 11349 15509 46527 115721 139581 347163 1041489 1504373 4513119 13539357