Search a number
-
+
131228736 = 263683483
BaseRepresentation
bin1111101001001…
…10010001000000
3100010221002222120
413310212101000
5232043304421
621004404240
73152266032
oct764462100
9303832876
10131228736
1168091101
1237b46680
1321258b52
14135ddc52
15b7c28c6
hex7d26440

131228736 has 28 divisors (see below), whose sum is σ = 347209872. Its totient is φ = 43742848.

The previous prime is 131228723. The next prime is 131228737. The reversal of 131228736 is 637822131.

It is a junction number, because it is equal to n+sod(n) for n = 131228697 and 131228706.

It is not an unprimeable number, because it can be changed into a prime (131228737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 341550 + ... + 341933.

Almost surely, 2131228736 is an apocalyptic number.

131228736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131228736 is an abundant number, since it is smaller than the sum of its proper divisors (215981136).

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

131228736 is an equidigital number, since it uses as much as digits as its factorization.

131228736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683498 (or 683488 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 131228736 is about 11455.5111627548. The cubic root of 131228736 is about 508.1707322876.

The spelling of 131228736 in words is "one hundred thirty-one million, two hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 683483 1366966 2050449 2733932 4100898 5467864 8201796 10935728 16403592 21871456 32807184 43742912 65614368 131228736