Search a number
-
+
13572117 = 341312889
BaseRepresentation
bin110011110001…
…100000010101
3221112112110000
4303301200111
511433301432
61202521513
7223234566
oct63614025
927475400
1013572117
11772aa29
124666299
132a72750
141b3416d
1512d157c
hexcf1815

13572117 has 20 divisors (see below), whose sum is σ = 21835660. Its totient is φ = 8351424.

The previous prime is 13572101. The next prime is 13572127. The reversal of 13572117 is 71127531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5225796 + 8346321 = 2286^2 + 2889^2 .

It is not a de Polignac number, because 13572117 - 24 = 13572101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13572127) 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 19 ways as a sum of consecutive naturals, for example, 5392 + ... + 7497.

It is an arithmetic number, because the mean of its divisors is an integer number (1091783).

Almost surely, 213572117 is an apocalyptic number.

It is an amenable number.

13572117 is a deficient number, since it is larger than the sum of its proper divisors (8263543).

13572117 is a wasteful number, since it uses less digits than its factorization.

13572117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12914 (or 12905 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 13572117 is about 3684.0354232825. The cubic root of 13572117 is about 238.5333998555.

Adding to 13572117 its reverse (71127531), we get a palindrome (84699648).

It can be divided in two parts, 13572 and 117, that added together give a square (13689 = 1172).

The spelling of 13572117 in words is "thirteen million, five hundred seventy-two thousand, one hundred seventeen".

Divisors: 1 3 9 13 27 39 81 117 351 1053 12889 38667 116001 167557 348003 502671 1044009 1508013 4524039 13572117