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131520270 = 23576110267
BaseRepresentation
bin1111101011011…
…01011100001110
3100011110220220010
413311231130032
5232132122040
621014534050
73154622010
oct765553416
9304426803
10131520270
1168270142
1238067326
132132b75b
14136781b0
15b82de80
hex7d6d70e

131520270 has 64 divisors (see below), whose sum is σ = 366690816. Its totient is φ = 29566080.

The previous prime is 131520247. The next prime is 131520317. The reversal of 131520270 is 72025131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7677 + ... + 17943.

It is an arithmetic number, because the mean of its divisors is an integer number (5729544).

Almost surely, 2131520270 is an apocalyptic number.

131520270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131520270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183345408).

131520270 is an abundant number, since it is smaller than the sum of its proper divisors (235170546).

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

131520270 is a wasteful number, since it uses less digits than its factorization.

131520270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10345.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 131520270 is about 11468.2287211234. The cubic root of 131520270 is about 508.5467664756.

The spelling of 131520270 in words is "one hundred thirty-one million, five hundred twenty thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 610 854 915 1281 1830 2135 2562 4270 6405 10267 12810 20534 30801 51335 61602 71869 102670 143738 154005 215607 308010 359345 431214 626287 718690 1078035 1252574 1878861 2156070 3131435 3757722 4384009 6262870 8768018 9394305 13152027 18788610 21920045 26304054 43840090 65760135 131520270