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795213960 = 233523212527
BaseRepresentation
bin101111011001100…
…000000010001000
32001102100001110220
4233121200002020
53112033321320
6210524110040
725464131022
oct5731400210
92042301426
10795213960
11378972022
121a2395320
13c8998608
1477881012
1549c2de40
hex2f660088

795213960 has 96 divisors (see below), whose sum is σ = 2494074240. Its totient is φ = 202820992.

The previous prime is 795213941. The next prime is 795213967. The reversal of 795213960 is 69312597.

It is not an unprimeable number, because it can be changed into a prime (795213967) 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 23 ways as a sum of consecutive naturals, for example, 57217 + ... + 69743.

It is an arithmetic number, because the mean of its divisors is an integer number (25979940).

Almost surely, 2795213960 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 795213960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247037120).

795213960 is an abundant number, since it is smaller than the sum of its proper divisors (1698860280).

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

795213960 is a wasteful number, since it uses less digits than its factorization.

795213960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12587 (or 12560 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 795213960 is about 28199.5382940927. The cubic root of 795213960 is about 926.4628268815.

It can be divided in two parts, 7952 and 13960, that added together give a palindrome (21912).

The spelling of 795213960 in words is "seven hundred ninety-five million, two hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 529 552 690 920 1058 1380 1587 2116 2645 2760 3174 4232 5290 6348 7935 10580 12527 12696 15870 21160 25054 31740 37581 50108 62635 63480 75162 100216 125270 150324 187905 250540 288121 300648 375810 501080 576242 751620 864363 1152484 1440605 1503240 1728726 2304968 2881210 3457452 4321815 5762420 6626783 6914904 8643630 11524840 13253566 17287260 19880349 26507132 33133915 34574520 39760698 53014264 66267830 79521396 99401745 132535660 159042792 198803490 265071320 397606980 795213960