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685388320 = 25517298689
BaseRepresentation
bin101000110110100…
…011001000100000
31202202200100000121
4220312203020200
52400424411240
6152002130024
722661463451
oct5066431040
91682610017
10685388320
1132197a431
12171650914
13abcc4726
1467053128
154028804a
hex28da3220

685388320 has 96 divisors (see below), whose sum is σ = 1773802800. Its totient is φ = 249102336.

The previous prime is 685388243. The next prime is 685388399. The reversal of 685388320 is 23883586.

It can be written as a sum of positive squares in 8 ways, for example, as 547372816 + 138015504 = 23396^2 + 11748^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74536 + ... + 83224.

Almost surely, 2685388320 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 685388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886901400).

685388320 is an abundant number, since it is smaller than the sum of its proper divisors (1088414480).

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

685388320 is a wasteful number, since it uses less digits than its factorization.

685388320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 685388320 is about 26179.9220778061. The cubic root of 685388320 is about 881.6825248312.

The spelling of 685388320 in words is "six hundred eighty-five million, three hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 68 80 85 116 136 145 160 170 232 272 290 340 464 493 544 580 680 928 986 1160 1360 1972 2320 2465 2720 3944 4640 4930 7888 8689 9860 15776 17378 19720 34756 39440 43445 69512 78880 86890 139024 147713 173780 251981 278048 295426 347560 503962 590852 695120 738565 1007924 1181704 1259905 1390240 1477130 2015848 2363408 2519810 2954260 4031696 4283677 4726816 5039620 5908520 8063392 8567354 10079240 11817040 17134708 20158480 21418385 23634080 34269416 40316960 42836770 68538832 85673540 137077664 171347080 342694160 685388320