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130056366 = 23112359499
BaseRepresentation
bin1111100000010…
…00000010101110
3100001201112210110
413300020002232
5231243300431
620523320450
73136314036
oct760100256
9301645713
10130056366
1167460300
1237680126
1320c3833b
14133b68c6
15b640346
hex7c080ae

130056366 has 48 divisors (see below), whose sum is σ = 287280000. Its totient is φ = 39222480.

The previous prime is 130056347. The next prime is 130056371. The reversal of 130056366 is 663650031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260385 + ... + 260883.

It is an arithmetic number, because the mean of its divisors is an integer number (5985000).

Almost surely, 2130056366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130056366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640000).

130056366 is an abundant number, since it is smaller than the sum of its proper divisors (157223634).

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

130056366 is a wasteful number, since it uses less digits than its factorization.

130056366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 130056366 is about 11404.2257957303. The cubic root of 130056366 is about 506.6529063861.

The spelling of 130056366 in words is "one hundred thirty million, fifty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 359 363 499 718 726 998 1077 1497 2154 2994 3949 5489 7898 10978 11847 16467 23694 32934 43439 60379 86878 120758 130317 179141 181137 260634 358282 362274 537423 1074846 1970551 3941102 5911653 11823306 21676061 43352122 65028183 130056366