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1325807568 = 243323912841
BaseRepresentation
bin100111100000110…
…0011011111010000
310102101202000002000
41033001203133100
510203401320233
6335320354000
744566115121
oct11701433720
93371660060
101325807568
11620424938
12310015900
131818a2927
14c811c048
157b5dbd13
hex4f0637d0

1325807568 has 80 divisors (see below), whose sum is σ = 3821779200. Its totient is φ = 440052480.

The previous prime is 1325807557. The next prime is 1325807599. The reversal of 1325807568 is 8657085231.

1325807568 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 80 + 7 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96828 + ... + 109668.

It is an arithmetic number, because the mean of its divisors is an integer number (47772240).

Almost surely, 21325807568 is an apocalyptic number.

1325807568 is a gapful number since it is divisible by the number (18) 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 1325807568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910889600).

1325807568 is an abundant number, since it is smaller than the sum of its proper divisors (2495971632).

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

1325807568 is a wasteful number, since it uses less digits than its factorization.

1325807568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13097 (or 13085 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1325807568 is about 36411.6405562836. The cubic root of 1325807568 is about 1098.5677138221.

The spelling of 1325807568 in words is "one billion, three hundred twenty-five million, eight hundred seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 239 432 478 717 956 1434 1912 2151 2868 3824 4302 5736 6453 8604 11472 12841 12906 17208 25682 25812 34416 38523 51364 51624 77046 102728 103248 115569 154092 205456 231138 308184 346707 462276 616368 693414 924552 1386828 1849104 2773656 3068999 5547312 6137998 9206997 12275996 18413994 24551992 27620991 36827988 49103984 55241982 73655976 82862973 110483964 147311952 165725946 220967928 331451892 441935856 662903784 1325807568