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130347560 = 23573115017
BaseRepresentation
bin1111100010011…
…11001000101000
3100002021100020102
413301033020220
5231332110220
620533444532
73141636020
oct761171050
9302240212
10130347560
116763a062
12377a0748
132100aa45
1413450a80
15b69b775
hex7c4f228

130347560 has 64 divisors (see below), whose sum is σ = 346014720. Its totient is φ = 43246080.

The previous prime is 130347557. The next prime is 130347631. The reversal of 130347560 is 65743031.

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 15 ways as a sum of consecutive naturals, for example, 1172 + ... + 16188.

It is an arithmetic number, because the mean of its divisors is an integer number (5406480).

Almost surely, 2130347560 is an apocalyptic number.

130347560 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 130347560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173007360).

130347560 is an abundant number, since it is smaller than the sum of its proper divisors (215667160).

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

130347560 is a wasteful number, since it uses less digits than its factorization.

130347560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15066 (or 15062 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 130347560 is about 11416.9855916525. The cubic root of 130347560 is about 507.0307536195.

The spelling of 130347560 in words is "one hundred thirty million, three hundred forty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 15017 30034 60068 75085 105119 120136 150170 210238 300340 420476 465527 525595 600680 840952 931054 1051190 1862108 2102380 2327635 3258689 3724216 4204760 4655270 6517378 9310540 13034756 16293445 18621080 26069512 32586890 65173780 130347560