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130432152 = 2334125361
BaseRepresentation
bin1111100011000…
…11110010011000
3100002102122021110
413301203302120
5231342312102
620535340320
73142440444
oct761436230
9302378243
10130432152
1167697674
12378216a0
132103a3b6
1413473824
15b6b686c
hex7c63c98

130432152 has 96 divisors (see below), whose sum is σ = 346116240. Its totient is φ = 40934400.

The previous prime is 130432147. The next prime is 130432163. The reversal of 130432152 is 251234031.

It is a super-2 number, since 2×1304321522 = 34025092550702208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2138202 + ... + 2138262.

Almost surely, 2130432152 is an apocalyptic number.

130432152 is a gapful number since it is divisible by the number (12) 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 130432152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173058120).

130432152 is an abundant number, since it is smaller than the sum of its proper divisors (215684088).

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

130432152 is a wasteful number, since it uses less digits than its factorization.

130432152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 130432152 is about 11420.6896464268. The cubic root of 130432152 is about 507.1404129297.

Adding to 130432152 its reverse (251234031), we get a palindrome (381666183).

The spelling of 130432152 in words is "one hundred thirty million, four hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 53 61 82 106 122 123 159 164 183 212 244 246 318 328 366 424 488 492 636 732 984 1272 1464 1681 2173 2501 3233 3362 4346 5002 5043 6466 6519 6724 7503 8692 9699 10004 10086 12932 13038 13448 15006 17384 19398 20008 20172 25864 26076 30012 38796 40344 52152 60024 77592 89093 102541 132553 178186 205082 265106 267279 307623 356372 397659 410164 530212 534558 615246 712744 795318 820328 1060424 1069116 1230492 1590636 2138232 2460984 3181272 5434673 10869346 16304019 21738692 32608038 43477384 65216076 130432152