Search a number
-
+
679959880 = 235175771733
BaseRepresentation
bin101000100001110…
…101110101001000
31202101110112121021
4220201311311020
52343032204010
6151245522224
722564364215
oct5041656510
91671415537
10679959880
11319901a16
1216b873374
13aab43932
146643cb0c
153ea648da
hex28875d48

679959880 has 64 divisors (see below), whose sum is σ = 1623648240. Its totient is φ = 255393792.

The previous prime is 679959827. The next prime is 679959901. The reversal of 679959880 is 88959976.

It can be written as a sum of positive squares in 8 ways, for example, as 583802244 + 96157636 = 24162^2 + 9806^2 .

It is a super-2 number, since 2×6799598802 = 924690876819228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391494 + ... + 393226.

Almost surely, 2679959880 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 679959880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811824120).

679959880 is an abundant number, since it is smaller than the sum of its proper divisors (943688360).

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

679959880 is a wasteful number, since it uses less digits than its factorization.

679959880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 61.

The square root of 679959880 is about 26076.0403435798. The cubic root of 679959880 is about 879.3486398948.

The spelling of 679959880 in words is "six hundred seventy-nine million, nine hundred fifty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 577 680 1154 1733 2308 2885 3466 4616 5770 6932 8665 9809 11540 13864 17330 19618 23080 29461 34660 39236 49045 58922 69320 78472 98090 117844 147305 196180 235688 294610 392360 589220 999941 1178440 1999882 3999764 4999705 7999528 9999410 16998997 19998820 33997994 39997640 67995988 84994985 135991976 169989970 339979940 679959880