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685413900 = 223452372287
BaseRepresentation
bin101000110110101…
…001011000001100
31202202201122010000
4220312221120030
52400431221100
6152002444300
722661631153
oct5066513014
91682648100
10685413900
11321997676
12171663690
13ac003272
146705c59a
1540290900
hex28da960c

685413900 has 180 divisors, whose sum is σ = 2282888608. Its totient is φ = 177759360.

The previous prime is 685413893. The next prime is 685413901. The reversal of 685413900 is 9314586.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (685413901) by changing a digit.

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, 298557 + ... + 300843.

Almost surely, 2685413900 is an apocalyptic number.

685413900 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 685413900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141444304).

685413900 is an abundant number, since it is smaller than the sum of its proper divisors (1597474708).

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

685413900 is a wasteful number, since it uses less digits than its factorization.

685413900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 685413900 is about 26180.4106155729. The cubic root of 685413900 is about 881.6934933862.

The spelling of 685413900 in words is "six hundred eighty-five million, four hundred thirteen thousand, nine hundred".