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804874180 = 2251117307701
BaseRepresentation
bin101111111110010…
…110011111000100
32002002111211210211
4233332112133010
53122021433210
6211511125204
725642213645
oct5776263704
92062454724
10804874180
1138336a980
121a5673804
13ca99b616
1478c776cc
154a9db38a
hex2ff967c4

804874180 has 96 divisors (see below), whose sum is σ = 1961511552. Its totient is φ = 274176000.

The previous prime is 804874171. The next prime is 804874193. The reversal of 804874180 is 81478408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147830 + ... + 1148530.

It is an arithmetic number, because the mean of its divisors is an integer number (20432412).

Almost surely, 2804874180 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 804874180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980755776).

804874180 is an abundant number, since it is smaller than the sum of its proper divisors (1156637372).

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

804874180 is a wasteful number, since it uses less digits than its factorization.

804874180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 804874180 is about 28370.3045454221. The cubic root of 804874180 is about 930.1992789900.

It can be divided in two parts, 8048 and 74180, that added together give a palindrome (82228).

The spelling of 804874180 in words is "eight hundred four million, eight hundred seventy-four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 307 340 374 614 701 748 935 1228 1402 1535 1870 2804 3070 3377 3505 3740 5219 6140 6754 7010 7711 10438 11917 13508 14020 15422 16885 20876 23834 26095 30844 33770 38555 47668 52190 57409 59585 67540 77110 104380 114818 119170 131087 154220 215207 229636 238340 262174 287045 430414 524348 574090 655435 860828 1076035 1148180 1310870 2152070 2367277 2621740 3658519 4304140 4734554 7317038 9469108 11836385 14634076 18292595 23672770 36585190 40243709 47345540 73170380 80487418 160974836 201218545 402437090 804874180