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685493760 = 2935741311
BaseRepresentation
bin101000110110111…
…100111000000000
31202202212200122210
4220312330320000
52400441300020
6152004302120
722662413040
oct5066747000
91682780583
10685493760
11321a41676
121716a1940
13ac030713
146707d720
15402a93e0
hex28dbce00

685493760 has 320 divisors, whose sum is σ = 2573835264. Its totient is φ = 152371200.

The previous prime is 685493713. The next prime is 685493807. The reversal of 685493760 is 67394586.

It is an interprime number because it is at equal distance from previous prime (685493713) and next prime (685493807).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 2204005 + ... + 2204315.

Almost surely, 2685493760 is an apocalyptic number.

685493760 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 685493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286917632).

685493760 is an abundant number, since it is smaller than the sum of its proper divisors (1888341504).

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

685493760 is a wasteful number, since it uses less digits than its factorization.

685493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 685493760 is about 26181.9357573118. The cubic root of 685493760 is about 881.7277351331.

The spelling of 685493760 in words is "six hundred eighty-five million, four hundred ninety-three thousand, seven hundred sixty".