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130150776 = 233717199229
BaseRepresentation
bin1111100000111…
…11000101111000
3100001220100022010
413300133011320
5231304311101
620525325520
73140156220
oct760370570
9301810263
10130150776
1167515228
12377068a0
1320c6c2c2
14133dd080
15b65d2d6
hex7c1f178

130150776 has 128 divisors (see below), whose sum is σ = 397440000. Its totient is φ = 34670592.

The previous prime is 130150733. The next prime is 130150777. The reversal of 130150776 is 677051031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130150777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568230 + ... + 568458.

It is an arithmetic number, because the mean of its divisors is an integer number (3105000).

Almost surely, 2130150776 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 130150776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198720000).

130150776 is an abundant number, since it is smaller than the sum of its proper divisors (267289224).

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

130150776 is a wasteful number, since it uses less digits than its factorization.

130150776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 130150776 is about 11408.3642999336. The cubic root of 130150776 is about 506.7754725543.

The spelling of 130150776 in words is "one hundred thirty million, one hundred fifty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 199 204 229 238 357 398 408 458 476 597 687 714 796 916 952 1194 1374 1393 1428 1592 1603 1832 2388 2748 2786 2856 3206 3383 3893 4179 4776 4809 5496 5572 6412 6766 7786 8358 9618 10149 11144 11679 12824 13532 15572 16716 19236 20298 23358 23681 27064 27251 31144 33432 38472 40596 45571 46716 47362 54502 71043 81192 81753 91142 93432 94724 109004 136713 142086 163506 182284 189448 218008 273426 284172 318997 327012 364568 546852 568344 637994 654024 774707 956991 1093704 1275988 1549414 1913982 2324121 2551976 3098828 3827964 4648242 5422949 6197656 7655928 9296484 10845898 16268847 18592968 21691796 32537694 43383592 65075388 130150776