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685760000 = 29542143
BaseRepresentation
bin101000110111111…
…101111000000000
31202210101012212112
4220313331320000
52401023310000
6152014114452
722664602202
oct5067757000
91683335775
10685760000
11322103702
121717aba28
13ac0c4963
146710c772
154030d235
hex28dfde00

685760000 has 100 divisors (see below), whose sum is σ = 1712976672. Its totient is φ = 274176000.

The previous prime is 685759999. The next prime is 685760081. The reversal of 685760000 is 67586.

685760000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 318929 + ... + 321071.

Almost surely, 2685760000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856488336).

685760000 is an abundant number, since it is smaller than the sum of its proper divisors (1027216672).

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

685760000 is an frugal number, since it uses more digits than its factorization.

685760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 685760000 is about 26187.0196853327. The cubic root of 685760000 is about 881.8418722319.

The spelling of 685760000 in words is "six hundred eighty-five million, seven hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2143 2500 2560 3200 4000 4286 5000 6400 8000 8572 10000 10715 12800 16000 17144 20000 21430 32000 34288 40000 42860 53575 64000 68576 80000 85720 107150 137152 160000 171440 214300 267875 274304 320000 342880 428600 535750 548608 685760 857200 1071500 1097216 1339375 1371520 1714400 2143000 2678750 2743040 3428800 4286000 5357500 5486080 6857600 8572000 10715000 13715200 17144000 21430000 27430400 34288000 42860000 68576000 85720000 137152000 171440000 342880000 685760000