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131368460 = 2257121303
BaseRepresentation
bin1111101010010…
…00011000001100
3100011012012122112
413311020120030
5232112242320
621011403152
73153420266
oct765103014
9304165575
10131368460
1168177083
1237bb34b8
13212a7622
1413638b36
15b7edec5
hex7d4860c

131368460 has 36 divisors (see below), whose sum is σ = 280028784. Its totient is φ = 51767520.

The previous prime is 131368459. The next prime is 131368477. The reversal of 131368460 is 64863131.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100169 + ... + 101471.

Almost surely, 2131368460 is an apocalyptic number.

131368460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131368460 is an abundant number, since it is smaller than the sum of its proper divisors (148660324).

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

131368460 is a wasteful number, since it uses less digits than its factorization.

131368460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 131368460 is about 11461.6080896181. The cubic root of 131368460 is about 508.3510242582.

The spelling of 131368460 in words is "one hundred thirty-one million, three hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1303 1420 2606 5041 5212 6515 10082 13030 20164 25205 26060 50410 92513 100820 185026 370052 462565 925130 1850260 6568423 13136846 26273692 32842115 65684230 131368460