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130568672 = 25132979137
BaseRepresentation
bin1111100100001…
…01000111100000
3100002200120112202
413302011013200
5231411144142
620542312332
73143546453
oct762050740
9302616482
10130568672
11677801a3
12378886a8
1321087590
14134ab49a
15b6e2032
hex7c851e0

130568672 has 96 divisors (see below), whose sum is σ = 292118400. Its totient is φ = 57028608.

The previous prime is 130568657. The next prime is 130568681. The reversal of 130568672 is 276865031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952988 + ... + 953124.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 2130568672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130568672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146059200).

130568672 is an abundant number, since it is smaller than the sum of its proper divisors (161549728).

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

130568672 is a wasteful number, since it uses less digits than its factorization.

130568672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 130568672 is about 11426.6649552702. The cubic root of 130568672 is about 507.3172882035.

The spelling of 130568672 in words is "one hundred thirty million, five hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 79 104 116 137 158 208 232 274 316 377 416 464 548 632 754 928 1027 1096 1264 1508 1781 2054 2192 2291 2528 3016 3562 3973 4108 4384 4582 6032 7124 7946 8216 9164 10823 12064 14248 15892 16432 18328 21646 28496 29783 31784 32864 36656 43292 51649 56992 59566 63568 73312 86584 103298 119132 127136 140699 173168 206596 238264 281398 313867 346336 413192 476528 562796 627734 826384 953056 1125592 1255468 1652768 2251184 2510936 4080271 4502368 5021872 8160542 10043744 16321084 32642168 65284336 130568672