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130232000 = 265373223
BaseRepresentation
bin1111100001100…
…10111011000000
3100002001110201102
413300302323000
5231314411000
620531153532
73140645063
oct760627300
9302043642
10130232000
1167570258
12377458a8
1320c9a272
14134208da
15b6773d5
hex7c32ec0

130232000 has 112 divisors (see below), whose sum is σ = 328403712. Its totient is φ = 51148800.

The previous prime is 130231921. The next prime is 130232017. The reversal of 130232000 is 232031.

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, 583889 + ... + 584111.

It is an arithmetic number, because the mean of its divisors is an integer number (2932176).

Almost surely, 2130232000 is an apocalyptic number.

130232000 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 130232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164201856).

130232000 is an abundant number, since it is smaller than the sum of its proper divisors (198171712).

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

130232000 is an equidigital number, since it uses as much as digits as its factorization.

130232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 130232000 is about 11411.9235889485. The cubic root of 130232000 is about 506.8808727995.

Adding to 130232000 its reverse (232031), we get a palindrome (130464031).

The spelling of 130232000 in words is "one hundred thirty million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 146 160 200 223 250 292 320 365 400 446 500 584 730 800 892 1000 1115 1168 1460 1600 1784 1825 2000 2230 2336 2920 3568 3650 4000 4460 4672 5575 5840 7136 7300 8000 8920 9125 11150 11680 14272 14600 16279 17840 18250 22300 23360 27875 29200 32558 35680 36500 44600 55750 58400 65116 71360 73000 81395 89200 111500 116800 130232 146000 162790 178400 223000 260464 292000 325580 356800 406975 446000 520928 584000 651160 813950 892000 1041856 1302320 1627900 1784000 2034875 2604640 3255800 4069750 5209280 6511600 8139500 13023200 16279000 26046400 32558000 65116000 130232000