Search a number
-
+
13137405 = 353723671
BaseRepresentation
bin110010000111…
…010111111101
3220201110010120
4302013113331
511330344110
61145325153
7216444321
oct62072775
926643116
1013137405
117463366
1244967b9
13294c918
141a5d981
151247870
hexc875fd

13137405 has 16 divisors (see below), whose sum is σ = 21588864. Its totient is φ = 6816960.

The previous prime is 13137401. The next prime is 13137409. The reversal of 13137405 is 50473131.

It is an interprime number because it is at equal distance from previous prime (13137401) and next prime (13137409).

It is not a de Polignac number, because 13137405 - 22 = 13137401 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11281 + ... + 12390.

It is an arithmetic number, because the mean of its divisors is an integer number (1349304).

Almost surely, 213137405 is an apocalyptic number.

13137405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13137405 is a deficient number, since it is larger than the sum of its proper divisors (8451459).

13137405 is a wasteful number, since it uses less digits than its factorization.

13137405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23716.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 13137405 is about 3624.5558348576. Note that the first 3 decimals coincide. The cubic root of 13137405 is about 235.9589905282.

The spelling of 13137405 in words is "thirteen million, one hundred thirty-seven thousand, four hundred five".

Divisors: 1 3 5 15 37 111 185 555 23671 71013 118355 355065 875827 2627481 4379135 13137405