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685678080 = 29351937127
BaseRepresentation
bin101000110111101…
…001111000000000
31202210020001111110
4220313221320000
52401013144310
6152012243320
722664111313
oct5067517000
91683201443
10685678080
113220580aa
12171770540
13ac096599
14670ca97a
15402e3d20
hex28de9e00

685678080 has 320 divisors, whose sum is σ = 2388418560. Its totient is φ = 167215104.

The previous prime is 685678073. The next prime is 685678087. The reversal of 685678080 is 80876586.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (685678073) and next prime (685678087).

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 not an unprimeable number, because it can be changed into a prime (685678087) 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 31 ways as a sum of consecutive naturals, for example, 5398977 + ... + 5399103.

It is an arithmetic number, because the mean of its divisors is an integer number (7463808).

Almost surely, 2685678080 is an apocalyptic number.

685678080 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 685678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194209280).

685678080 is an abundant number, since it is smaller than the sum of its proper divisors (1702740480).

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

685678080 is a wasteful number, since it uses less digits than its factorization.

685678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 685678080 is about 26185.4555049172. The cubic root of 685678080 is about 881.8067562715.

The spelling of 685678080 in words is "six hundred eighty-five million, six hundred seventy-eight thousand, eighty".