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130265352 = 233271311973
BaseRepresentation
bin1111100001110…
…11000100001000
3100002010011110200
413300323010020
5231321442402
620532012200
73141144240
oct760730410
9302104420
10130265352
1167593318
1237761060
1320cac4b9
141342cb20
15b68221c
hex7c3b108

130265352 has 96 divisors (see below), whose sum is σ = 406486080. Its totient is φ = 36915840.

The previous prime is 130265347. The next prime is 130265371. The reversal of 130265352 is 253562031.

130265352 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 653 + 5 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65038 + ... + 67010.

It is an arithmetic number, because the mean of its divisors is an integer number (4234230).

Almost surely, 2130265352 is an apocalyptic number.

130265352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130265352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203243040).

130265352 is an abundant number, since it is smaller than the sum of its proper divisors (276220728).

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

130265352 is a wasteful number, since it uses less digits than its factorization.

130265352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 130265352 is about 11413.3847740274. The cubic root of 130265352 is about 506.9241392981.

The spelling of 130265352 in words is "one hundred thirty million, two hundred sixty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 131 168 252 262 393 504 524 786 917 1048 1179 1572 1834 1973 2358 2751 3144 3668 3946 4716 5502 5919 7336 7892 8253 9432 11004 11838 13811 15784 16506 17757 22008 23676 27622 33012 35514 41433 47352 55244 66024 71028 82866 110488 124299 142056 165732 248598 258463 331464 497196 516926 775389 994392 1033852 1550778 1809241 2067704 2326167 3101556 3618482 4652334 5427723 6203112 7236964 9304668 10855446 14473928 16283169 18609336 21710892 32566338 43421784 65132676 130265352