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131340540 = 223519115211
BaseRepresentation
bin1111101010000…
…01100011111100
3100011010210100110
413311001203330
5232110344130
621011030020
73153243012
oct765014374
9304123313
10131340540
1168158101
1237b9b310
13212979c6
141362c8b2
15b7e5ab0
hex7d418fc

131340540 has 48 divisors (see below), whose sum is σ = 387112320. Its totient is φ = 33180480.

The previous prime is 131340529. The next prime is 131340551. The reversal of 131340540 is 45043131.

It is an interprime number because it is at equal distance from previous prime (131340529) and next prime (131340551).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56466 + ... + 58745.

It is an arithmetic number, because the mean of its divisors is an integer number (8064840).

Almost surely, 2131340540 is an apocalyptic number.

131340540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131340540 is an abundant number, since it is smaller than the sum of its proper divisors (255771780).

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

131340540 is a wasteful number, since it uses less digits than its factorization.

131340540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115242 (or 115240 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 131340540 is about 11460.3900457183. The cubic root of 131340540 is about 508.3150080885.

Adding to 131340540 its reverse (45043131), we get a palindrome (176383671).

The spelling of 131340540 in words is "one hundred thirty-one million, three hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 115211 230422 345633 460844 576055 691266 1152110 1382532 1728165 2189009 2304220 3456330 4378018 6567027 6912660 8756036 10945045 13134054 21890090 26268108 32835135 43780180 65670270 131340540