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131462540 = 22511631947
BaseRepresentation
bin1111101010111…
…11010110001100
3100011100222200222
413311133112030
5232123300130
621013410512
73154261466
oct765372614
9304328628
10131462540
1168230830
1238039a38
132130b3b1
1413661136
15b81bce5
hex7d5f58c

131462540 has 48 divisors (see below), whose sum is σ = 301964544. Its totient is φ = 47678400.

The previous prime is 131462533. The next prime is 131462543. The reversal of 131462540 is 45264131.

It is not an unprimeable number, because it can be changed into a prime (131462543) by changing a digit.

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, 138347 + ... + 139293.

It is an arithmetic number, because the mean of its divisors is an integer number (6290928).

Almost surely, 2131462540 is an apocalyptic number.

131462540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131462540 is an abundant number, since it is smaller than the sum of its proper divisors (170502004).

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

131462540 is a wasteful number, since it uses less digits than its factorization.

131462540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 131462540 is about 11465.7114912246. The cubic root of 131462540 is about 508.4723477784.

The spelling of 131462540 in words is "one hundred thirty-one million, four hundred sixty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 631 947 1262 1894 2524 3155 3788 4735 6310 6941 9470 10417 12620 13882 18940 20834 27764 34705 41668 52085 69410 104170 138820 208340 597557 1195114 2390228 2987785 5975570 6573127 11951140 13146254 26292508 32865635 65731270 131462540