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131005060 = 225173731033
BaseRepresentation
bin1111100111011…
…11101010000100
3100010111202011021
413303233222010
5232014130220
620555520524
73150344644
oct763575204
9303452137
10131005060
1167a4904a
1237a59144
13211ab0b4
1413582524
15b77b4aa
hex7cefa84

131005060 has 48 divisors (see below), whose sum is σ = 292357296. Its totient is φ = 49139712.

The previous prime is 131005031. The next prime is 131005067. The reversal of 131005060 is 60500131.

It can be written as a sum of positive squares in 8 ways, for example, as 19660356 + 111344704 = 4434^2 + 10552^2 .

It is not an unprimeable number, because it can be changed into a prime (131005067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126304 + ... + 127336.

It is an arithmetic number, because the mean of its divisors is an integer number (6090777).

Almost surely, 2131005060 is an apocalyptic number.

131005060 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 131005060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146178648).

131005060 is an abundant number, since it is smaller than the sum of its proper divisors (161352236).

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

131005060 is a wasteful number, since it uses less digits than its factorization.

131005060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 131005060 is about 11445.7441872514. The cubic root of 131005060 is about 507.8818467852.

Adding to 131005060 its reverse (60500131), we get a palindrome (191505191).

The spelling of 131005060 in words is "one hundred thirty-one million, five thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 373 746 1033 1492 1865 2066 3730 4132 5165 6341 7460 10330 12682 17561 20660 25364 31705 35122 63410 70244 87805 126820 175610 351220 385309 770618 1541236 1926545 3853090 6550253 7706180 13100506 26201012 32751265 65502530 131005060