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130999552 = 281731971
BaseRepresentation
bin1111100111011…
…10010100000000
3100010111110121021
413303232110000
5232013441202
620555435224
73150322615
oct763562400
9303443537
10130999552
1167a449a2
1237a55b14
13211a8738
141358050c
15b779a37
hex7cee500

130999552 has 72 divisors (see below), whose sum is σ = 286094592. Its totient is φ = 59596800.

The previous prime is 130999523. The next prime is 130999601. The reversal of 130999552 is 255999031.

It is a junction number, because it is equal to n+sod(n) for n = 130999499 and 130999508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134427 + ... + 135397.

It is an arithmetic number, because the mean of its divisors is an integer number (3973536).

Almost surely, 2130999552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130999552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143047296).

130999552 is an abundant number, since it is smaller than the sum of its proper divisors (155095040).

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

130999552 is an equidigital number, since it uses as much as digits as its factorization.

130999552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 43.

The square root of 130999552 is about 11445.5035712720. The cubic root of 130999552 is about 507.8747288606.

The spelling of 130999552 in words is "one hundred thirty million, nine hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 496 527 544 971 992 1054 1088 1942 1984 2108 2176 3884 3968 4216 4352 7768 7936 8432 15536 16507 16864 30101 31072 33014 33728 60202 62144 66028 67456 120404 124288 132056 134912 240808 248576 264112 481616 511717 528224 963232 1023434 1056448 1926464 2046868 2112896 3852928 4093736 4225792 7705856 8187472 16374944 32749888 65499776 130999552