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805077130 = 2511213231127
BaseRepresentation
bin101111111111001…
…000000010001010
32002002220011012111
4233333020002022
53122044432010
6211515332534
725644020434
oct5777100212
92062804174
10805077130
11383499400
121a575114a
13caa3cb00
1478ccb654
154aa2b58a
hex2ffc808a

805077130 has 144 divisors (see below), whose sum is σ = 1794465792. Its totient is φ = 259459200.

The previous prime is 805077127. The next prime is 805077131. The reversal of 805077130 is 31770508.

805077130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 805077092 and 805077101.

It is not an unprimeable number, because it can be changed into a prime (805077131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6339127 + ... + 6339253.

It is an arithmetic number, because the mean of its divisors is an integer number (12461568).

Almost surely, 2805077130 is an apocalyptic number.

805077130 is an abundant number, since it is smaller than the sum of its proper divisors (989388662).

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

805077130 is a wasteful number, since it uses less digits than its factorization.

805077130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 805077130 is about 28373.8811233148. The cubic root of 805077130 is about 930.2774560447.

The spelling of 805077130 in words is "eight hundred five million, seventy-seven thousand, one hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 31 55 62 65 110 121 127 130 143 155 169 242 254 286 310 338 341 403 605 635 682 715 806 845 1210 1270 1397 1430 1573 1651 1690 1705 1859 2015 2794 3146 3302 3410 3718 3751 3937 4030 4433 5239 6985 7502 7865 7874 8255 8866 9295 10478 13970 15367 15730 16510 18161 18590 18755 19685 20449 21463 22165 26195 30734 36322 37510 39370 40898 42926 43307 44330 48763 51181 52390 57629 76835 86614 90805 97526 102245 102362 107315 115258 153670 181610 199771 204490 214630 216535 236093 243815 255905 288145 399542 433070 472186 476377 487630 511810 562991 576290 633919 665353 952754 998855 1125982 1180465 1267838 1330706 1997710 2360930 2381885 2597023 2814955 3169595 3326765 4763770 5194046 5629910 6192901 6339190 6653530 7318883 12385802 12985115 14637766 25970230 30964505 36594415 61929010 73188830 80507713 161015426 402538565 805077130