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130383768 = 23329316043
BaseRepresentation
bin1111100010101…
…11111110011000
3100002100011220110
413301113332120
5231334240033
620534324320
73142146414
oct761277630
9302304813
10130383768
1167664289
12377b96a0
1321021378
141345dd44
15b6a7363
hex7c57f98

130383768 has 64 divisors (see below), whose sum is σ = 348134400. Its totient is φ = 40602240.

The previous prime is 130383713. The next prime is 130383769. The reversal of 130383768 is 867383031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130383769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18555 + ... + 24597.

It is an arithmetic number, because the mean of its divisors is an integer number (5439600).

Almost surely, 2130383768 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 130383768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174067200).

130383768 is an abundant number, since it is smaller than the sum of its proper divisors (217750632).

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

130383768 is a wasteful number, since it uses less digits than its factorization.

130383768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 130383768 is about 11418.5711890762. The cubic root of 130383768 is about 507.0776970117.

The spelling of 130383768 in words is "one hundred thirty million, three hundred eighty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 696 744 899 1798 2697 3596 5394 6043 7192 10788 12086 18129 21576 24172 36258 48344 72516 145032 175247 187333 350494 374666 525741 561999 700988 749332 1051482 1123998 1401976 1498664 2102964 2247996 4205928 4495992 5432657 10865314 16297971 21730628 32595942 43461256 65191884 130383768