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131520360 = 23359711299
BaseRepresentation
bin1111101011011…
…01011101101000
3100011110221000110
413311231131220
5232132122420
621014534320
73154622166
oct765553550
9304427013
10131520360
1168270214
12380673a0
132132b7ca
1413678236
15b82dee0
hex7d6d768

131520360 has 64 divisors (see below), whose sum is σ = 398664000. Its totient is φ = 34707456.

The previous prime is 131520343. The next prime is 131520419. The reversal of 131520360 is 63025131.

It is an unprimeable number.

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, 5991 + ... + 17289.

It is an arithmetic number, because the mean of its divisors is an integer number (6229125).

Almost surely, 2131520360 is an apocalyptic number.

131520360 is a gapful number since it is divisible by the number (10) 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 131520360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199332000).

131520360 is an abundant number, since it is smaller than the sum of its proper divisors (267143640).

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

131520360 is a wasteful number, since it uses less digits than its factorization.

131520360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11410 (or 11406 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 131520360 is about 11468.2326450068. The cubic root of 131520360 is about 508.5468824760.

Adding to 131520360 its reverse (63025131), we get a palindrome (194545491).

The spelling of 131520360 in words is "one hundred thirty-one million, five hundred twenty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 11299 11640 22598 33897 45196 56495 67794 90392 112990 135588 169485 225980 271176 338970 451960 677940 1096003 1355880 2192006 3288009 4384012 5480015 6576018 8768024 10960030 13152036 16440045 21920060 26304072 32880090 43840120 65760180 131520360