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130868360 = 23573115077
BaseRepresentation
bin1111100110011…
…10010010001000
3100010020210122022
413303032102020
5232000241420
620552544012
73146235260
oct763162210
9303223568
10130868360
1167965377
12379b2008
1321160acc
14135487a0
15b750c25
hex7cce488

130868360 has 64 divisors (see below), whose sum is σ = 347397120. Its totient is φ = 43418880.

The previous prime is 130868327. The next prime is 130868377. The reversal of 130868360 is 63868031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 130868360.

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, 1142 + ... + 16218.

It is an arithmetic number, because the mean of its divisors is an integer number (5428080).

Almost surely, 2130868360 is an apocalyptic number.

130868360 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 130868360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173698560).

130868360 is an abundant number, since it is smaller than the sum of its proper divisors (216528760).

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

130868360 is a wasteful number, since it uses less digits than its factorization.

130868360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15126 (or 15122 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 130868360 is about 11439.7709767285. The cubic root of 130868360 is about 507.7051319546.

The spelling of 130868360 in words is "one hundred thirty million, eight hundred sixty-eight thousand, three 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 15077 30154 60308 75385 105539 120616 150770 211078 301540 422156 467387 527695 603080 844312 934774 1055390 1869548 2110780 2336935 3271709 3739096 4221560 4673870 6543418 9347740 13086836 16358545 18695480 26173672 32717090 65434180 130868360