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130263520 = 2551783577
BaseRepresentation
bin1111100001110…
…10100111100000
3100002010001221211
413300322213200
5231321413040
620531555504
73141136012
oct760724740
9302101854
10130263520
1167591a02
123775bb94
1320cab70a
141342c1b2
15b6818ea
hex7c3a9e0

130263520 has 96 divisors (see below), whose sum is σ = 330347808. Its totient is φ = 48365568.

The previous prime is 130263499. The next prime is 130263521. The reversal of 130263520 is 25362031.

It is a junction number, because it is equal to n+sod(n) for n = 130263491 and 130263500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130263521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225472 + ... + 226048.

It is an arithmetic number, because the mean of its divisors is an integer number (3441123).

Almost surely, 2130263520 is an apocalyptic number.

130263520 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 130263520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165173904).

130263520 is an abundant number, since it is smaller than the sum of its proper divisors (200084288).

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

130263520 is a wasteful number, since it uses less digits than its factorization.

130263520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 130263520 is about 11413.3045170976. The cubic root of 130263520 is about 506.9217628939.

The spelling of 130263520 in words is "one hundred thirty million, two hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 83 85 136 160 166 170 272 332 340 415 544 577 664 680 830 1154 1328 1360 1411 1660 2308 2656 2720 2822 2885 3320 4616 5644 5770 6640 7055 9232 9809 11288 11540 13280 14110 18464 19618 22576 23080 28220 39236 45152 46160 47891 49045 56440 78472 92320 95782 98090 112880 156944 191564 196180 225760 239455 313888 383128 392360 478910 766256 784720 814147 957820 1532512 1569440 1628294 1915640 3256588 3831280 4070735 6513176 7662560 8141470 13026352 16282940 26052704 32565880 65131760 130263520