Search a number
-
+
131936405 = 5174493457
BaseRepresentation
bin1111101110100…
…11000010010101
3100012021001201112
413313103002111
5232233431110
621031504405
73161304146
oct767230225
9305231645
10131936405
1168524857
1238228105
1321445ca3
1413745acd
15b8b2405
hex7dd3095

131936405 has 16 divisors (see below), whose sum is σ = 168058800. Its totient is φ = 99090432.

The previous prime is 131936383. The next prime is 131936407. The reversal of 131936405 is 504639131.

It can be written as a sum of positive squares in 8 ways, for example, as 5193841 + 126742564 = 2279^2 + 11258^2 .

It is a cyclic number.

It is not a de Polignac number, because 131936405 - 224 = 115159189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131936407) 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, 36437 + ... + 39893.

It is an arithmetic number, because the mean of its divisors is an integer number (10503675).

Almost surely, 2131936405 is an apocalyptic number.

It is an amenable number.

131936405 is a deficient number, since it is larger than the sum of its proper divisors (36122395).

131936405 is a wasteful number, since it uses less digits than its factorization.

131936405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928.

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 131936405 is about 11486.3573425173. The cubic root of 131936405 is about 509.0825553814.

The spelling of 131936405 in words is "one hundred thirty-one million, nine hundred thirty-six thousand, four hundred five".

Divisors: 1 5 17 85 449 2245 3457 7633 17285 38165 58769 293845 1552193 7760965 26387281 131936405