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680244480 = 283125
BaseRepresentation
bin101000100010111…
…011010100000000
31202102000000000000
4220202323110000
52343120310410
6151300000000
722566661026
oct5042732400
91672000000
10680244480
11319a86823
1216b990000
13aac13336
14664b4716
153eabddc0
hex288bb500

680244480 has 234 divisors, whose sum is σ = 2444095626. Its totient is φ = 181398528.

The previous prime is 680244473. The next prime is 680244497. The reversal of 680244480 is 84442086.

It can be written as a sum of positive squares in only one way, i.e., 544195584 + 136048896 = 23328^2 + 11664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 136048894 + ... + 136048898.

Almost surely, 2680244480 is an apocalyptic number.

680244480 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 680244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222047813).

680244480 is an abundant number, since it is smaller than the sum of its proper divisors (1763851146).

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

680244480 is an frugal number, since it uses more digits than its factorization.

680244480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 680244480 is about 26081.4968895575. The cubic root of 680244480 is about 879.4713077767.

The spelling of 680244480 in words is "six hundred eighty million, two hundred forty-four thousand, four hundred eighty".