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131768520 = 23351384467
BaseRepresentation
bin1111101101010…
…10000011001000
3100011221112102120
413312222003020
5232213043040
621024131240
73160004532
oct766520310
9304845376
10131768520
116841a704
1238166b20
13213b7750
1413700852
15b87c7d0
hex7daa0c8

131768520 has 64 divisors (see below), whose sum is σ = 425718720. Its totient is φ = 32434944.

The previous prime is 131768519. The next prime is 131768521. The reversal of 131768520 is 25867131.

It is an interprime number because it is at equal distance from previous prime (131768519) and next prime (131768521).

It is not an unprimeable number, because it can be changed into a prime (131768521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40674 + ... + 43793.

It is an arithmetic number, because the mean of its divisors is an integer number (6651855).

Almost surely, 2131768520 is an apocalyptic number.

131768520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131768520 is an abundant number, since it is smaller than the sum of its proper divisors (293950200).

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

131768520 is a wasteful number, since it uses less digits than its factorization.

131768520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84494 (or 84490 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 131768520 is about 11479.0469987713. The cubic root of 131768520 is about 508.8665331194.

The spelling of 131768520 in words is "one hundred thirty-one million, seven hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 84467 168934 253401 337868 422335 506802 675736 844670 1013604 1098071 1267005 1689340 2027208 2196142 2534010 3294213 3378680 4392284 5068020 5490355 6588426 8784568 10136040 10980710 13176852 16471065 21961420 26353704 32942130 43922840 65884260 131768520