Search a number
-
+
131005008 = 24323129347
BaseRepresentation
bin1111100111011…
…11101001010000
3100010111202002100
413303233221100
5232014130013
620555520400
73150344541
oct763575120
9303452070
10131005008
1167a49002
1237a59100
13211ab074
14135824c8
15b77b473
hex7cefa50

131005008 has 60 divisors (see below), whose sum is σ = 378471808. Its totient is φ = 42258240.

The previous prime is 131004947. The next prime is 131005031. The reversal of 131005008 is 800500131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10210 + ... + 19137.

Almost surely, 2131005008 is an apocalyptic number.

131005008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131005008 is an abundant number, since it is smaller than the sum of its proper divisors (247466800).

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

131005008 is a wasteful number, since it uses less digits than its factorization.

131005008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29392 (or 29383 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131005008 is about 11445.7419156645. The cubic root of 131005008 is about 507.8817795871.

Adding to 131005008 its reverse (800500131), we get a palindrome (931505139).

The spelling of 131005008 in words is "one hundred thirty-one million, five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 29347 58694 88041 117388 176082 234776 264123 352164 469552 528246 704328 909757 1056492 1408656 1819514 2112984 2729271 3639028 4225968 5458542 7278056 8187813 10917084 14556112 16375626 21834168 32751252 43668336 65502504 131005008