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685440000 = 2103254717
BaseRepresentation
bin101000110110101…
…111110000000000
31202202202221220200
4220312233300000
52400433040000
6152003205200
722662100230
oct5066576000
91682687820
10685440000
11321a05243
12171676800
13ac0120cb
1467067cc0
1540298500
hex28dafc00

685440000 has 660 divisors, whose sum is σ = 2992779504. Its totient is φ = 147456000.

The previous prime is 685439999. The next prime is 685440031. The reversal of 685440000 is 44586.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 40319992 + ... + 40320008.

Almost surely, 2685440000 is an apocalyptic number.

685440000 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 685440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496389752).

685440000 is an abundant number, since it is smaller than the sum of its proper divisors (2307339504).

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

685440000 is a wasteful number, since it uses less digits than its factorization.

685440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 685440000 is about 26180.9090751257. The cubic root of 685440000 is about 881.7046846329.

Adding to 685440000 its reverse (44586), we get a palindrome (685484586).

The spelling of 685440000 in words is "six hundred eighty-five million, four hundred forty thousand".