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131824540 = 2256591227
BaseRepresentation
bin1111101101101…
…11101110011100
3100012001101021101
413312313232130
5232221341130
621025242444
73160330051
oct766675634
9305041241
10131824540
1168458801
1238193424
13214070b3
1413717028
15b88e1ca
hex7db7b9c

131824540 has 12 divisors (see below), whose sum is σ = 276831576. Its totient is φ = 52729808.

The previous prime is 131824507. The next prime is 131824543. The reversal of 131824540 is 45428131.

It is a junction number, because it is equal to n+sod(n) for n = 131824499 and 131824508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131824543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3295594 + ... + 3295633.

It is an arithmetic number, because the mean of its divisors is an integer number (23069298).

Almost surely, 2131824540 is an apocalyptic number.

131824540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131824540 is an abundant number, since it is smaller than the sum of its proper divisors (145007036).

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

131824540 is a wasteful number, since it uses less digits than its factorization.

131824540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591236 (or 6591234 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 131824540 is about 11481.4868375137. The cubic root of 131824540 is about 508.9386359867.

The spelling of 131824540 in words is "one hundred thirty-one million, eight hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 6591227 13182454 26364908 32956135 65912270 131824540