Search a number
-
+
131004760 = 23531105649
BaseRepresentation
bin1111100111011…
…11100101011000
3100010111201202011
413303233211120
5232014123020
620555515304
73150344035
oct763574530
9303451664
10131004760
1167a488a7
1237a58b34
13211aac13
141358238c
15b77b35a
hex7cef958

131004760 has 32 divisors (see below), whose sum is σ = 304272000. Its totient is φ = 50711040.

The previous prime is 131004751. The next prime is 131004763. The reversal of 131004760 is 67400131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131004763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51585 + ... + 54064.

It is an arithmetic number, because the mean of its divisors is an integer number (9508500).

Almost surely, 2131004760 is an apocalyptic number.

131004760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131004760 is an abundant number, since it is smaller than the sum of its proper divisors (173267240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131004760 is a wasteful number, since it uses less digits than its factorization.

131004760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105691 (or 105687 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 131004760 is about 11445.7310819362. The cubic root of 131004760 is about 507.8814591038.

Adding to 131004760 its reverse (67400131), we get a palindrome (198404891).

The spelling of 131004760 in words is "one hundred thirty-one million, four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 105649 211298 422596 528245 845192 1056490 2112980 3275119 4225960 6550238 13100476 16375595 26200952 32751190 65502380 131004760