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685694880 = 253251336629
BaseRepresentation
bin101000110111101…
…101111110100000
31202210020220112200
4220313231332200
52401014214010
6152012453200
722664211303
oct5067557640
91683226480
10685694880
11322069792
1217177a200
13ac0a1120
14670d2b3a
15402e8cc0
hex28dedfa0

685694880 has 144 divisors (see below), whose sum is σ = 2519997480. Its totient is φ = 168781824.

The previous prime is 685694869. The next prime is 685694917. The reversal of 685694880 is 88496586.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 588159504 + 97535376 = 24252^2 + 9876^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406 + ... + 37034.

Almost surely, 2685694880 is an apocalyptic number.

685694880 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 685694880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259998740).

685694880 is an abundant number, since it is smaller than the sum of its proper divisors (1834302600).

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

685694880 is a wasteful number, since it uses less digits than its factorization.

685694880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36663 (or 36652 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 685694880 is about 26185.7762917199. The cubic root of 685694880 is about 881.8139580148.

The spelling of 685694880 in words is "six hundred eighty-five million, six hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 36629 73258 109887 146516 183145 219774 293032 329661 366290 439548 476177 549435 586064 659322 732580 879096 952354 1098870 1172128 1318644 1428531 1465160 1648305 1758192 1904708 2197740 2380885 2637288 2857062 2930320 3296610 3516384 3809416 4285593 4395480 4761770 5274576 5714124 5860640 6593220 7142655 7618832 8571186 8790960 9523540 10549152 11428248 13186440 14285310 15237664 17142372 17581920 19047080 21427965 22856496 26372880 28570620 34284744 38094160 42855930 45712992 52745760 57141240 68569488 76188320 85711860 114282480 137138976 171423720 228564960 342847440 685694880