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130095888 = 243131910973
BaseRepresentation
bin1111100000100…
…01101100010000
3100001210120000020
413300101230100
5231301032023
620524223440
73136540206
oct760215420
9301716006
10130095888
1167487a6a
123769ab80
1320c50320
14133c7076
15b64bde3
hex7c11b10

130095888 has 80 divisors (see below), whose sum is σ = 381017280. Its totient is φ = 37919232.

The previous prime is 130095887. The next prime is 130095899. The reversal of 130095888 is 888590031.

It is not an unprimeable number, because it can be changed into a prime (130095887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6370 + ... + 17342.

It is an arithmetic number, because the mean of its divisors is an integer number (4762716).

Almost surely, 2130095888 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 130095888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190508640).

130095888 is an abundant number, since it is smaller than the sum of its proper divisors (250921392).

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

130095888 is a wasteful number, since it uses less digits than its factorization.

130095888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11016 (or 11010 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 130095888 is about 11405.9584428491. The cubic root of 130095888 is about 506.7042223624.

The spelling of 130095888 in words is "one hundred thirty million, ninety-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 10973 11856 21946 32919 43892 65838 87784 131676 142649 175568 208487 263352 285298 416974 427947 526704 570596 625461 833948 855894 1141192 1250922 1667896 1711788 2282384 2501844 2710331 3335792 3423576 5003688 5420662 6847152 8130993 10007376 10841324 16261986 21682648 32523972 43365296 65047944 130095888