Search a number
-
+
130630656 = 2103133271
BaseRepresentation
bin1111100100101…
…00010000000000
3100002210201120110
413302110100000
5231420140111
620543511320
73144225252
oct762242000
9302721513
10130630656
1167812822
12378b8540
13210a9860
14134c5cd2
15b7055a6
hex7c94400

130630656 has 88 divisors (see below), whose sum is σ = 375075904. Its totient is φ = 40181760.

The previous prime is 130630651. The next prime is 130630663. The reversal of 130630656 is 656036031.

It is not an unprimeable number, because it can be changed into a prime (130630651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38301 + ... + 41571.

Almost surely, 2130630656 is an apocalyptic number.

130630656 is a gapful number since it is divisible by the number (16) 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 130630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187537952).

130630656 is an abundant number, since it is smaller than the sum of its proper divisors (244445248).

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

130630656 is a wasteful number, since it uses less digits than its factorization.

130630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 130630656 is about 11429.3768859024. The cubic root of 130630656 is about 507.3975539611.

Adding to 130630656 its reverse (656036031), we get a palindrome (786666687).

The spelling of 130630656 in words is "one hundred thirty million, six hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3271 3328 4992 6542 6656 9813 9984 13084 13312 19626 19968 26168 39252 39936 42523 52336 78504 85046 104672 127569 157008 170092 209344 255138 314016 340184 418688 510276 628032 680368 837376 1020552 1256064 1360736 1674752 2041104 2512128 2721472 3349504 4082208 5024256 5442944 8164416 10048512 10885888 16328832 21771776 32657664 43543552 65315328 130630656