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131383060 = 22543227673
BaseRepresentation
bin1111101010010…
…11111100010100
3100011012221200021
413311023330110
5232113224220
621011554524
73153510664
oct765137424
9304187607
10131383060
1168187046
1237bbba44
13212b1173
14136401a4
15b8034aa
hex7d4bf14

131383060 has 48 divisors (see below), whose sum is σ = 283985856. Its totient is φ = 51028992.

The previous prime is 131383051. The next prime is 131383069. The reversal of 131383060 is 60383131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131383051) and next prime (131383069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131383069) 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, 194884 + ... + 195556.

It is an arithmetic number, because the mean of its divisors is an integer number (5916372).

Almost surely, 2131383060 is an apocalyptic number.

131383060 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 131383060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141992928).

131383060 is an abundant number, since it is smaller than the sum of its proper divisors (152602796).

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

131383060 is a wasteful number, since it uses less digits than its factorization.

131383060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 131383060 is about 11462.2449808055. The cubic root of 131383060 is about 508.3698558966.

The spelling of 131383060 in words is "one hundred thirty-one million, three hundred eighty-three thousand, sixty".

Divisors: 1 2 4 5 10 20 43 86 172 215 227 430 454 673 860 908 1135 1346 2270 2692 3365 4540 6730 9761 13460 19522 28939 39044 48805 57878 97610 115756 144695 152771 195220 289390 305542 578780 611084 763855 1527710 3055420 6569153 13138306 26276612 32845765 65691530 131383060