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130645710 = 23451319653
BaseRepresentation
bin1111100100101…
…11111011001110
3100002211111020000
413302113323032
5231421130320
620544105130
73144320166
oct762277316
9302744200
10130645710
1167823068
12379051a6
13210b3670
14134cb5a6
15b709c90
hex7c97ece

130645710 has 160 divisors (see below), whose sum is σ = 398835360. Its totient is φ = 30419712.

The previous prime is 130645709. The next prime is 130645717. The reversal of 130645710 is 17546031.

130645710 is a `hidden beast` number, since 1 + 3 + 0 + 645 + 7 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130645717) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 199744 + ... + 200396.

It is an arithmetic number, because the mean of its divisors is an integer number (2492721).

Almost surely, 2130645710 is an apocalyptic number.

130645710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130645710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199417680).

130645710 is an abundant number, since it is smaller than the sum of its proper divisors (268189650).

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

130645710 is a wasteful number, since it uses less digits than its factorization.

130645710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 130645710 is about 11430.0354330159. The cubic root of 130645710 is about 507.4170442033.

The spelling of 130645710 in words is "one hundred thirty million, six hundred forty-five thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 81 90 95 114 117 130 135 162 171 190 195 234 247 270 285 342 351 390 405 494 513 570 585 653 702 741 810 855 1026 1053 1170 1235 1306 1482 1539 1710 1755 1959 2106 2223 2470 2565 3078 3265 3510 3705 3918 4446 5130 5265 5877 6530 6669 7410 7695 8489 9795 10530 11115 11754 12407 13338 15390 16978 17631 19590 20007 22230 24814 25467 29385 33345 35262 37221 40014 42445 50934 52893 58770 62035 66690 74442 76401 84890 88155 100035 105786 111663 124070 127335 152802 161291 176310 186105 200070 223326 229203 254670 264465 322582 334989 372210 382005 458406 483873 528930 558315 669978 687609 764010 806455 967746 1004967 1116630 1146015 1375218 1451619 1612910 1674945 2009934 2292030 2419365 2903238 3349890 3438045 4354857 4838730 5024835 6876090 7258095 8709714 10049670 13064571 14516190 21774285 26129142 43548570 65322855 130645710