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131322492 = 22337173707
BaseRepresentation
bin1111101001111…
…01001001111100
3100011002212121000
413310331021330
5232104304432
621010410300
73153136260
oct764751174
9304085530
10131322492
1168145594
1237b90990
132128c722
14136260a0
15b7e057c
hex7d3d27c

131322492 has 48 divisors (see below), whose sum is σ = 389105920. Its totient is φ = 37520496.

The previous prime is 131322481. The next prime is 131322539. The reversal of 131322492 is 294223131.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 86098 + ... + 87609.

Almost surely, 2131322492 is an apocalyptic number.

131322492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131322492 is an abundant number, since it is smaller than the sum of its proper divisors (257783428).

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

131322492 is a wasteful number, since it uses less digits than its factorization.

131322492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173727 (or 173719 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 131322492 is about 11459.6026109111. The cubic root of 131322492 is about 508.2917238598.

It can be divided in two parts, 1313224 and 92, that added together give a square (1313316 = 11462).

The spelling of 131322492 in words is "one hundred thirty-one million, three hundred twenty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 173707 347414 521121 694828 1042242 1215949 1563363 2084484 2431898 3126726 3647847 4690089 4863796 6253452 7295694 9380178 10943541 14591388 18760356 21887082 32830623 43774164 65661246 131322492