Search a number
-
+
682888320 = 273554391
BaseRepresentation
bin101000101101000…
…000110010000000
31202120222022200000
4220231000302000
52344304411240
6151432400000
722631312022
oct5055006200
91676868600
10682888320
11320522114
12170846000
13ab62a83a
14669a2012
153ee42430
hex28b40c80

682888320 has 192 divisors, whose sum is σ = 2445992640. Its totient is φ = 182062080.

The previous prime is 682888313. The next prime is 682888343. The reversal of 682888320 is 23888286.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153325 + ... + 157715.

It is an arithmetic number, because the mean of its divisors is an integer number (12739545).

Almost surely, 2682888320 is an apocalyptic number.

682888320 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 682888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222996320).

682888320 is an abundant number, since it is smaller than the sum of its proper divisors (1763104320).

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

682888320 is an equidigital number, since it uses as much as digits as its factorization.

682888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 682888320 is about 26132.1319451743. The cubic root of 682888320 is about 880.6092200157.

The spelling of 682888320 in words is "six hundred eighty-two million, eight hundred eighty-eight thousand, three hundred twenty".