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795057060 = 2235713211433
BaseRepresentation
bin101111011000111…
…001101110100100
32001102001002020210
4233120321232210
53112013311220
6210520455420
725462605420
oct5730715644
92042032223
10795057060
11378875156
121a231a570
13c8942085
147783db80
1549bec6e0
hex2f639ba4

795057060 has 96 divisors (see below), whose sum is σ = 2547885312. Its totient is φ = 181463040.

The previous prime is 795057059. The next prime is 795057079. The reversal of 795057060 is 60750597.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 554104 + ... + 555536.

It is an arithmetic number, because the mean of its divisors is an integer number (26540472).

Almost surely, 2795057060 is an apocalyptic number.

795057060 is a gapful number since it is divisible by the number (70) 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 795057060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273942656).

795057060 is an abundant number, since it is smaller than the sum of its proper divisors (1752828252).

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

795057060 is a wasteful number, since it uses less digits than its factorization.

795057060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 795057060 is about 28196.7561964138. The cubic root of 795057060 is about 926.4018908374.

The spelling of 795057060 in words is "seven hundred ninety-five million, fifty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1321 1433 2642 2866 3963 4299 5284 5732 6605 7165 7926 8598 9247 10031 13210 14330 15852 17196 18494 19815 20062 21495 26420 27741 28660 30093 36988 39630 40124 42990 46235 50155 55482 60186 79260 85980 92470 100310 110964 120372 138705 150465 184940 200620 277410 300930 554820 601860 1892993 3785986 5678979 7571972 9464965 11357958 13250951 18929930 22715916 26501902 28394895 37859860 39752853 53003804 56789790 66254755 79505706 113579580 132509510 159011412 198764265 265019020 397528530 795057060