Search a number
-
+
131906247 = 31117213831
BaseRepresentation
bin1111101110010…
…11101011000111
3100012012112100120
413313023223013
5232231444442
621031113023
73161120214
oct767135307
9305175316
10131906247
1168504130
1238212773
1321435345
1413738b0b
15b8a84ec
hex7dcbac7

131906247 has 24 divisors (see below), whose sum is σ = 203828352. Its totient is φ = 75235200.

The previous prime is 131906237. The next prime is 131906249. The reversal of 131906247 is 742609131.

It is not a de Polignac number, because 131906247 - 24 = 131906231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131906249) 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, 2622 + ... + 16452.

It is an arithmetic number, because the mean of its divisors is an integer number (8492848).

Almost surely, 2131906247 is an apocalyptic number.

131906247 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

131906247 is a deficient number, since it is larger than the sum of its proper divisors (71922105).

131906247 is a wasteful number, since it uses less digits than its factorization.

131906247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13879 (or 13862 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 131906247 is about 11485.0444927305. The cubic root of 131906247 is about 509.0437637590.

The spelling of 131906247 in words is "one hundred thirty-one million, nine hundred six thousand, two hundred forty-seven".

Divisors: 1 3 11 17 33 51 187 289 561 867 3179 9537 13831 41493 152141 235127 456423 705381 2586397 3997159 7759191 11991477 43968749 131906247