Search a number
-
+
131463808 = 277314733
BaseRepresentation
bin1111101010111…
…11101010000000
3100011101001102221
413311133222000
5232123320213
621013420424
73154265260
oct765375200
9304331387
10131463808
1168231783
123803a714
132130bb48
14136617a0
15b81c38d
hex7d5fa80

131463808 has 64 divisors (see below), whose sum is σ = 309035520. Its totient is φ = 54512640.

The previous prime is 131463803. The next prime is 131463817. The reversal of 131463808 is 808364131.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (131463803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25410 + ... + 30142.

It is an arithmetic number, because the mean of its divisors is an integer number (4828680).

Almost surely, 2131463808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131463808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154517760).

131463808 is an abundant number, since it is smaller than the sum of its proper divisors (177571712).

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

131463808 is an equidigital number, since it uses as much as digits as its factorization.

131463808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 131463808 is about 11465.7667863951. The cubic root of 131463808 is about 508.4739825682.

The spelling of 131463808 in words is "one hundred thirty-one million, four hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 4733 6944 9466 13888 18932 27776 33131 37864 66262 75728 132524 146723 151456 265048 293446 302912 530096 586892 605824 1027061 1060192 1173784 2054122 2120384 2347568 4108244 4240768 4695136 8216488 9390272 16432976 18780544 32865952 65731904 131463808