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131492816 = 2471326947
BaseRepresentation
bin1111101011001…
…10101111010000
3100011102112020022
413311212233100
5232130232231
621014203012
73154445660
oct765465720
9304375208
10131492816
1168251554
1238053468
132131c100
141366c1a0
15b825c7b
hex7d66bd0

131492816 has 60 divisors (see below), whose sum is σ = 315328032. Its totient is φ = 52011648.

The previous prime is 131492813. The next prime is 131492819. The reversal of 131492816 is 618294131.

It is an interprime number because it is at equal distance from previous prime (131492813) and next prime (131492819).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131492813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15455 + ... + 22401.

Almost surely, 2131492816 is an apocalyptic number.

131492816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131492816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157664016).

131492816 is an abundant number, since it is smaller than the sum of its proper divisors (183835216).

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

131492816 is a wasteful number, since it uses less digits than its factorization.

131492816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988 (or 6969 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 131492816 is about 11467.0316996161. The cubic root of 131492816 is about 508.5113787378.

The spelling of 131492816 in words is "one hundred thirty-one million, four hundred ninety-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 2366 2704 4732 6947 9464 13894 18928 27788 48629 55576 90311 97258 111152 180622 194516 361244 389032 632177 722488 778064 1174043 1264354 1444976 2348086 2528708 4696172 5057416 8218301 9392344 10114832 16436602 18784688 32873204 65746408 131492816