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130665300 = 223522329653
BaseRepresentation
bin1111100100111…
…00101101010100
3100002212111002120
413302130231110
5231422242200
620544335540
73144431253
oct762345524
9302774076
10130665300
1167836857
12379145b0
13210bc55c
14134d479a
15b7109a0
hex7c9cb54

130665300 has 144 divisors (see below), whose sum is σ = 408723840. Its totient is φ = 32130560.

The previous prime is 130665287. The next prime is 130665307. The reversal of 130665300 is 3566031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130665307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199774 + ... + 200426.

It is an arithmetic number, because the mean of its divisors is an integer number (2838360).

Almost surely, 2130665300 is an apocalyptic number.

130665300 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 130665300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204361920).

130665300 is an abundant number, since it is smaller than the sum of its proper divisors (278058540).

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

130665300 is a wasteful number, since it uses less digits than its factorization.

130665300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 130665300 is about 11430.8923536179. The cubic root of 130665300 is about 507.4424049112.

The spelling of 130665300 in words is "one hundred thirty million, six hundred sixty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 29 30 46 50 58 60 69 75 87 92 100 115 116 138 145 150 174 230 276 290 300 345 348 435 460 575 580 653 667 690 725 870 1150 1306 1334 1380 1450 1725 1740 1959 2001 2175 2300 2612 2668 2900 3265 3335 3450 3918 4002 4350 6530 6670 6900 7836 8004 8700 9795 10005 13060 13340 15019 16325 16675 18937 19590 20010 30038 32650 33350 37874 39180 40020 45057 48975 50025 56811 60076 65300 66700 75095 75748 90114 94685 97950 100050 113622 150190 180228 189370 195900 200100 225285 227244 284055 300380 375475 378740 435551 450570 473425 568110 750950 871102 901140 946850 1126425 1136220 1306653 1420275 1501900 1742204 1893700 2177755 2252850 2613306 2840550 4355510 4505700 5226612 5681100 6533265 8711020 10888775 13066530 21777550 26133060 32666325 43555100 65332650 130665300