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679985280 = 27345131009
BaseRepresentation
bin101000100001111…
…100000010000000
31202101111211110000
4220201330002000
52343034012110
6151250240000
722564531242
oct5041740200
91671454400
10679985280
1131991a007
1216b886000
13aab52370
1466448092
153ea6c1c0
hex2887c080

679985280 has 320 divisors, whose sum is σ = 2617738200. Its totient is φ = 167215104.

The previous prime is 679985263. The next prime is 679985303. The reversal of 679985280 is 82589976.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 358572096 + 321413184 = 18936^2 + 17928^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673416 + ... + 674424.

Almost surely, 2679985280 is an apocalyptic number.

679985280 is a gapful number since it is divisible by the number (60) 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 679985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308869100).

679985280 is an abundant number, since it is smaller than the sum of its proper divisors (1937752920).

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

679985280 is a wasteful number, since it uses less digits than its factorization.

679985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 679985280 is about 26076.5273761672. The cubic root of 679985280 is about 879.3595891571.

The spelling of 679985280 in words is "six hundred seventy-nine million, nine hundred eighty-five thousand, two hundred eighty".