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130372528 = 241113192999
BaseRepresentation
bin1111100010101…
…01001110110000
3100002022121111011
413301111032300
5231333410103
620534200304
73142101556
oct761251660
9302277434
10130372528
11676568a0
12377b3094
1321019210
1413459bd6
15b6a3d6d
hex7c553b0

130372528 has 80 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 51805440.

The previous prime is 130372523. The next prime is 130372537. The reversal of 130372528 is 825273031.

It is a super-2 number, since 2×1303725282 = 33993992114221568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130372528.

It is not an unprimeable number, because it can be changed into a prime (130372523) 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, 41973 + ... + 44971.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2130372528 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 130372528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

130372528 is an abundant number, since it is smaller than the sum of its proper divisors (182107472).

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

130372528 is a wasteful number, since it uses less digits than its factorization.

130372528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 130372528 is about 11418.0789977999. The cubic root of 130372528 is about 507.0631253689.

The spelling of 130372528 in words is "one hundred thirty million, three hundred seventy-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 143 152 176 208 209 247 286 304 418 494 572 836 988 1144 1672 1976 2288 2717 2999 3344 3952 5434 5998 10868 11996 21736 23992 32989 38987 43472 47984 56981 65978 77974 113962 131956 155948 227924 263912 311896 428857 455848 527824 623792 626791 740753 857714 911696 1253582 1481506 1715428 2507164 2963012 3430856 5014328 5926024 6861712 8148283 10028656 11852048 16296566 32593132 65186264 130372528