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130232064 = 2831511123
BaseRepresentation
bin1111100001100…
…10111100000000
3100002001110210210
413300302330000
5231314411224
620531154120
73140645214
oct760627400
9302043723
10130232064
1167570306
1237745940
1320c9a2c1
1413420944
15b677429
hex7c32f00

130232064 has 72 divisors (see below), whose sum is σ = 349213312. Its totient is φ = 43084800.

The previous prime is 130232059. The next prime is 130232083. The reversal of 130232064 is 460232031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 130232064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115407 + ... + 116529.

Almost surely, 2130232064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174606656).

130232064 is an abundant number, since it is smaller than the sum of its proper divisors (218981248).

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

130232064 is a wasteful number, since it uses less digits than its factorization.

130232064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 130232064 is about 11411.9263930329. The cubic root of 130232064 is about 506.8809558318.

Adding to 130232064 its reverse (460232031), we get a palindrome (590464095).

The spelling of 130232064 in words is "one hundred thirty million, two hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 256 302 384 453 604 768 906 1123 1208 1812 2246 2416 3369 3624 4492 4832 6738 7248 8984 9664 13476 14496 17968 19328 26952 28992 35936 38656 53904 57984 71872 107808 115968 143744 169573 215616 287488 339146 431232 508719 678292 862464 1017438 1356584 2034876 2713168 4069752 5426336 8139504 10852672 16279008 21705344 32558016 43410688 65116032 130232064