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685711360 = 213516741
BaseRepresentation
bin101000110111110…
…010000000000000
31202210021202011001
4220313302000000
52401020230420
6152013101344
722664310325
oct5067620000
91683252131
10685711360
11322080104
12171787854
13ac0a8789
14670d8b4c
15402edb0a
hex28df2000

685711360 has 56 divisors (see below), whose sum is σ = 1645705116. Its totient is φ = 274268160.

The previous prime is 685711307. The next prime is 685711363. The reversal of 685711360 is 63117586.

It can be written as a sum of positive squares in 2 ways, for example, as 645566464 + 40144896 = 25408^2 + 6336^2 .

It is not an unprimeable number, because it can be changed into a prime (685711363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32590 + ... + 49330.

Almost surely, 2685711360 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 685711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822852558).

685711360 is an abundant number, since it is smaller than the sum of its proper divisors (959993756).

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

685711360 is an equidigital number, since it uses as much as digits as its factorization.

685711360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16772 (or 16748 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 685711360 is about 26186.0909644796. The cubic root of 685711360 is about 881.8210224677.

The spelling of 685711360 in words is "six hundred eighty-five million, seven hundred eleven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16741 20480 33482 40960 66964 83705 133928 167410 267856 334820 535712 669640 1071424 1339280 2142848 2678560 4285696 5357120 8571392 10714240 17142784 21428480 34285568 42856960 68571136 85713920 137142272 171427840 342855680 685711360