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130884030 = 232523531193
BaseRepresentation
bin1111100110100…
…10000110111110
3100010021121010200
413303102012332
5232001242110
620553144330
73146332044
oct763220676
9303247120
10130884030
1167976122
12379bb0a6
1321167c94
1413550394
15b7556c0
hex7cd21be

130884030 has 96 divisors (see below), whose sum is σ = 362097216. Its totient is φ = 32727552.

The previous prime is 130884029. The next prime is 130884043. The reversal of 130884030 is 30488031.

It is a junction number, because it is equal to n+sod(n) for n = 130883985 and 130884003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109114 + ... + 110306.

It is an arithmetic number, because the mean of its divisors is an integer number (3771846).

Almost surely, 2130884030 is an apocalyptic number.

130884030 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 130884030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181048608).

130884030 is an abundant number, since it is smaller than the sum of its proper divisors (231213186).

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

130884030 is a wasteful number, since it uses less digits than its factorization.

130884030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 130884030 is about 11440.4558475613. The cubic root of 130884030 is about 507.7253951205.

The spelling of 130884030 in words is "one hundred thirty million, eight hundred eighty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 53 69 90 106 115 138 159 207 230 265 318 345 414 477 530 690 795 954 1035 1193 1219 1590 2070 2385 2386 2438 3579 3657 4770 5965 6095 7158 7314 10737 10971 11930 12190 17895 18285 21474 21942 27439 35790 36570 53685 54855 54878 63229 82317 107370 109710 126458 137195 164634 189687 246951 274390 316145 379374 411585 493902 569061 632290 823170 948435 1138122 1234755 1454267 1896870 2469510 2845305 2908534 4362801 5690610 7271335 8725602 13088403 14542670 21814005 26176806 43628010 65442015 130884030