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131274432 = 263523367
BaseRepresentation
bin1111101001100…
…01011011000000
3100011000102200000
413310301123000
5232101240212
621005400000
73152546202
oct764613300
9304012600
10131274432
1168112473
1237b69000
13212738a3
1413612772
15b7d11dc
hex7d316c0

131274432 has 168 divisors, whose sum is σ = 408285696. Its totient is φ = 41741568.

The previous prime is 131274419. The next prime is 131274433. The reversal of 131274432 is 234472131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131274396 and 131274405.

It is not an unprimeable number, because it can be changed into a prime (131274433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357513 + ... + 357879.

It is an arithmetic number, because the mean of its divisors is an integer number (2430272).

Almost surely, 2131274432 is an apocalyptic number.

131274432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204142848).

131274432 is an abundant number, since it is smaller than the sum of its proper divisors (277011264).

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

131274432 is an equidigital number, since it uses as much as digits as its factorization.

131274432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 131274432 is about 11457.5054876705. The cubic root of 131274432 is about 508.2297099060.

The spelling of 131274432 in words is "one hundred thirty-one million, two hundred seventy-four thousand, four hundred thirty-two".