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130410560 = 265728317
BaseRepresentation
bin1111100010111…
…10100001000000
3100002101112122202
413301132201000
5231341114220
620535052332
73142320500
oct761364100
9302345582
10130410560
1167682425
12378110a8
1321030617
1413469a00
15b6b0275
hex7c5e840

130410560 has 84 divisors (see below), whose sum is σ = 361284012. Its totient is φ = 44706816.

The previous prime is 130410559. The next prime is 130410563. The reversal of 130410560 is 65014031.

130410560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 97140736 + 33269824 = 9856^2 + 5768^2 .

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

It is not an unprimeable number, because it can be changed into a prime (130410563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11522 + ... + 19838.

Almost surely, 2130410560 is an apocalyptic number.

130410560 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 130410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180642006).

130410560 is an abundant number, since it is smaller than the sum of its proper divisors (230873452).

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

130410560 is an equidigital number, since it uses as much as digits as its factorization.

130410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8348 (or 8331 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 130410560 is about 11419.7443053687. The cubic root of 130410560 is about 507.1124270384.

Adding to 130410560 its reverse (65014031), we get a palindrome (195424591).

The spelling of 130410560 in words is "one hundred thirty million, four hundred ten thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 8317 15680 16634 33268 41585 58219 66536 83170 116438 133072 166340 232876 266144 291095 332680 407533 465752 532288 582190 665360 815066 931504 1164380 1330720 1630132 1863008 2037665 2328760 2661440 3260264 3726016 4075330 4657520 6520528 8150660 9315040 13041056 16301320 18630080 26082112 32602640 65205280 130410560