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130860288 = 28321317257
BaseRepresentation
bin1111100110011…
…00010100000000
3100010020101120100
413303030110000
5232000012123
620552442400
73146202606
oct763142400
9303211510
10130860288
116795a2a9
12379a9400
132115a230
1413545876
15b74d643
hex7ccc500

130860288 has 216 divisors, whose sum is σ = 431901288. Its totient is φ = 37748736.

The previous prime is 130860283. The next prime is 130860307. The reversal of 130860288 is 882068031.

It can be written as a sum of positive squares in 4 ways, for example, as 51151104 + 79709184 = 7152^2 + 8928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130860281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509056 + ... + 509312.

It is an arithmetic number, because the mean of its divisors is an integer number (1999543).

Almost surely, 2130860288 is an apocalyptic number.

130860288 is a gapful number since it is divisible by the number (18) 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 130860288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215950644).

130860288 is an abundant number, since it is smaller than the sum of its proper divisors (301041000).

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

130860288 is a wasteful number, since it uses less digits than its factorization.

130860288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 130860288 is about 11439.4181670223. The cubic root of 130860288 is about 507.6946932713.

The spelling of 130860288 in words is "one hundred thirty million, eight hundred sixty thousand, two hundred eighty-eight".