Search a number
-
+
678669840 = 24395431
BaseRepresentation
bin101000011100111…
…010111000010000
31202022001000000000
4220130322320100
52342214413330
6151202130000
722550412162
oct5034727020
91668030000
10678669840
11319100772
1216b350900
13aa7b16b4
14661c4932
153e8ac560
hex2873ae10

678669840 has 200 divisors, whose sum is σ = 2372312448. Its totient is φ = 180558720.

The previous prime is 678669833. The next prime is 678669851. The reversal of 678669840 is 48966876.

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

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 39 ways as a sum of consecutive naturals, for example, 1574425 + ... + 1574855.

Almost surely, 2678669840 is an apocalyptic number.

678669840 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 678669840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186156224).

678669840 is an abundant number, since it is smaller than the sum of its proper divisors (1693642608).

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

678669840 is an frugal number, since it uses more digits than its factorization.

678669840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 678669840 is about 26051.2924823319. The cubic root of 678669840 is about 878.7921790837.

The spelling of 678669840 in words is "six hundred seventy-eight million, six hundred sixty-nine thousand, eight hundred forty".