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131464008 = 233213140453
BaseRepresentation
bin1111101010111…
…11101101001000
3100011101001201100
413311133231020
5232123322013
621013421400
73154265664
oct765375510
9304331640
10131464008
1168231945
123803a860
132130bc70
14136618a4
15b81c473
hex7d5fb48

131464008 has 48 divisors (see below), whose sum is σ = 383439420. Its totient is φ = 40450176.

The previous prime is 131464007. The next prime is 131464013. The reversal of 131464008 is 800464131.

131464008 is a `hidden beast` number, since 1 + 3 + 14 + 640 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130919364 + 544644 = 11442^2 + 738^2 .

It is not an unprimeable number, because it can be changed into a prime (131464001) 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 11 ways as a sum of consecutive naturals, for example, 69291 + ... + 71162.

Almost surely, 2131464008 is an apocalyptic number.

131464008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131464008 is an abundant number, since it is smaller than the sum of its proper divisors (251975412).

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

131464008 is a wasteful number, since it uses less digits than its factorization.

131464008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140478 (or 140471 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 131464008 is about 11465.7755080064. The cubic root of 131464008 is about 508.4742404206.

The spelling of 131464008 in words is "one hundred thirty-one million, four hundred sixty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 140453 280906 421359 561812 842718 1123624 1264077 1685436 1825889 2528154 3370872 3651778 5056308 5477667 7303556 10112616 10955334 14607112 16433001 21910668 32866002 43821336 65732004 131464008