Search a number
-
+
678620880 = 243257294643
BaseRepresentation
bin101000011100101…
…110111011010000
31202021221111211200
4220130232323100
52342211332010
6151201111200
722550116350
oct5034567320
91667844750
10678620880
11319077a03
1216b328500
13aa795322
14661b0b60
153e89ccc0
hex2872eed0

678620880 has 240 divisors, whose sum is σ = 2695006080. Its totient is φ = 149732352.

The previous prime is 678620867. The next prime is 678620903. The reversal of 678620880 is 88026876.

678620880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143839 + ... + 148481.

It is an arithmetic number, because the mean of its divisors is an integer number (11229192).

Almost surely, 2678620880 is an apocalyptic number.

678620880 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 678620880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347503040).

678620880 is an abundant number, since it is smaller than the sum of its proper divisors (2016385200).

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

678620880 is a wasteful number, since it uses less digits than its factorization.

678620880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 678620880 is about 26050.3527807206. The cubic root of 678620880 is about 878.7710462258.

The spelling of 678620880 in words is "six hundred seventy-eight million, six hundred twenty thousand, eight hundred eighty".