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131392324 = 227413681
BaseRepresentation
bin1111101010011…
…10001101000100
3100011020102101101
413311032031010
5232114023244
621012105444
73153550000
oct765161504
9304212341
10131392324
1168192aa8
1238005284
13212b544b
1413643700
15b8060d4
hex7d4e344

131392324 has 30 divisors (see below), whose sum is σ = 268262974. Its totient is φ = 56306880.

The previous prime is 131392321. The next prime is 131392333. The reversal of 131392324 is 423293131.

It can be written as a sum of positive squares in only one way, i.e., 129231424 + 2160900 = 11368^2 + 1470^2 .

It is a super-2 number, since 2×1313923242 = 34527885612241952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131392292 and 131392301.

It is not an unprimeable number, because it can be changed into a prime (131392321) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2764 + ... + 16444.

Almost surely, 2131392324 is an apocalyptic number.

131392324 is a gapful number since it is divisible by the number (14) 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 131392324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134131487).

131392324 is an abundant number, since it is smaller than the sum of its proper divisors (136870650).

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

131392324 is an equidigital number, since it uses as much as digits as its factorization.

131392324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13713 (or 13690 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 131392324 is about 11462.6490830000. The cubic root of 131392324 is about 508.3818042347.

The spelling of 131392324 in words is "one hundred thirty-one million, three hundred ninety-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4802 9604 13681 27362 54724 95767 191534 383068 670369 1340738 2681476 4692583 9385166 18770332 32848081 65696162 131392324