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131305520 = 2457392221
BaseRepresentation
bin1111101001110…
…01000000110000
3100011002000022102
413310321000300
5232103234040
621010155532
73153035633
oct764710060
9304060272
10131305520
1168133865
1237b82ba8
1321284a98
141361dc1a
15b7da515
hex7d39030

131305520 has 40 divisors (see below), whose sum is σ = 305836080. Its totient is φ = 52427520.

The previous prime is 131305513. The next prime is 131305529. The reversal of 131305520 is 25503131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1313055202 = 34482279164940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131305492 and 131305501.

It is not an unprimeable number, because it can be changed into a prime (131305529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58010 + ... + 60230.

It is an arithmetic number, because the mean of its divisors is an integer number (7645902).

Almost surely, 2131305520 is an apocalyptic number.

131305520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131305520 is an abundant number, since it is smaller than the sum of its proper divisors (174530560).

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

131305520 is a wasteful number, since it uses less digits than its factorization.

131305520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 131305520 is about 11458.8620726493. The cubic root of 131305520 is about 508.2698258623.

Adding to 131305520 its reverse (25503131), we get a palindrome (156808651).

The spelling of 131305520 in words is "one hundred thirty-one million, three hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 739 1478 2221 2956 3695 4442 5912 7390 8884 11105 11824 14780 17768 22210 29560 35536 44420 59120 88840 177680 1641319 3282638 6565276 8206595 13130552 16413190 26261104 32826380 65652760 131305520