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680652480 = 26354117293
BaseRepresentation
bin101000100100011…
…110111011000000
31202102202201200010
4220210132323000
52343221334410
6151312424520
722603310364
oct5044367300
91672681603
10680652480
1131a235312
1216bb48140
13ab026c61
146657d2a4
153eb4ec20
hex2891eec0

680652480 has 112 divisors (see below), whose sum is σ = 2213908704. Its totient is φ = 177070080.

The previous prime is 680652473. The next prime is 680652487. The reversal of 680652480 is 84256086.

It is an interprime number because it is at equal distance from previous prime (680652473) and next prime (680652487).

It is not an unprimeable number, because it can be changed into a prime (680652487) 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 15 ways as a sum of consecutive naturals, for example, 30714 + ... + 48006.

It is an arithmetic number, because the mean of its divisors is an integer number (19767042).

Almost surely, 2680652480 is an apocalyptic number.

680652480 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 680652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106954352).

680652480 is an abundant number, since it is smaller than the sum of its proper divisors (1533256224).

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

680652480 is a wasteful number, since it uses less digits than its factorization.

680652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17354 (or 17344 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 680652480 is about 26089.3173540436. The cubic root of 680652480 is about 879.6471036800.

The spelling of 680652480 in words is "six hundred eighty million, six hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 17293 19680 34586 39360 51879 69172 86465 103758 138344 172930 207516 259395 276688 345860 415032 518790 553376 691720 709013 830064 1037580 1106752 1383440 1418026 1660128 2075160 2127039 2766880 2836052 3320256 3545065 4150320 4254078 5533760 5672104 7090130 8300640 8508156 10635195 11344208 14180260 16601280 17016312 21270390 22688416 28360520 34032624 42540780 45376832 56721040 68065248 85081560 113442080 136130496 170163120 226884160 340326240 680652480