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680966080 = 26519472383
BaseRepresentation
bin101000100101101…
…011011111000000
31202110100122211221
4220211223133000
52343311403310
6151323244424
722606054564
oct5045533700
91673318757
10680966080
1131a429993
12170079714
13ab106912
14666216a4
153ebb2ada
hex2896b7c0

680966080 has 112 divisors (see below), whose sum is σ = 1743943680. Its totient is φ = 252453888.

The previous prime is 680966071. The next prime is 680966087. The reversal of 680966080 is 80669086.

It is a super-2 number, since 2×6809660802 = 927429604221132800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680966087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284569 + ... + 286951.

Almost surely, 2680966080 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 680966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871971840).

680966080 is an abundant number, since it is smaller than the sum of its proper divisors (1062977600).

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

680966080 is a wasteful number, since it uses less digits than its factorization.

680966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 680966080 is about 26095.3267846946. The cubic root of 680966080 is about 879.7821774928.

The spelling of 680966080 in words is "six hundred eighty million, nine hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 47 64 76 80 94 95 152 160 188 190 235 304 320 376 380 470 608 752 760 893 940 1216 1504 1520 1786 1880 2383 3008 3040 3572 3760 4465 4766 6080 7144 7520 8930 9532 11915 14288 15040 17860 19064 23830 28576 35720 38128 45277 47660 57152 71440 76256 90554 95320 112001 142880 152512 181108 190640 224002 226385 285760 362216 381280 448004 452770 560005 724432 762560 896008 905540 1120010 1448864 1792016 1811080 2128019 2240020 2897728 3584032 3622160 4256038 4480040 7168064 7244320 8512076 8960080 10640095 14488640 17024152 17920160 21280190 34048304 35840320 42560380 68096608 85120760 136193216 170241520 340483040 680966080