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680908480 = 26571717881
BaseRepresentation
bin101000100101011…
…101011011000000
31202110020201211121
4220211131123000
52343303032410
6151322122024
722605424630
oct5045353300
91673221747
10680908480
1131a39a68a
12170050314
13ab0b6635
14666086c0
153eba09da
hex2895d6c0

680908480 has 112 divisors (see below), whose sum is σ = 1962156096. Its totient is φ = 219709440.

The previous prime is 680908477. The next prime is 680908493. The reversal of 680908480 is 84809086.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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, 29140 + ... + 47020.

Almost surely, 2680908480 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 680908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981078048).

680908480 is an abundant number, since it is smaller than the sum of its proper divisors (1281247616).

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

680908480 is a wasteful number, since it uses less digits than its factorization.

680908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17922 (or 17912 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 680908480 is about 26094.2231154714. The cubic root of 680908480 is about 879.7573711263.

The spelling of 680908480 in words is "six hundred eighty million, nine hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 680 952 1088 1120 1190 1360 1904 2240 2380 2720 3808 4760 5440 7616 9520 17881 19040 35762 38080 71524 89405 125167 143048 178810 250334 286096 303977 357620 500668 572192 607954 625835 715240 1001336 1144384 1215908 1251670 1430480 1519885 2002672 2127839 2431816 2503340 2860960 3039770 4005344 4255678 4863632 5006680 5721920 6079540 8010688 8511356 9727264 10013360 10639195 12159080 17022712 19454528 20026720 21278390 24318160 34045424 40053440 42556780 48636320 68090848 85113560 97272640 136181696 170227120 340454240 680908480