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680605440 = 28354212
BaseRepresentation
bin101000100100010…
…011011100000000
31202102200100010220
4220210103130000
52343213333230
6151311423040
722603023264
oct5044233400
91672610126
10680605440
1131a202a39
1216bb24a80
13ab00b718
146656a0a4
153eb40d10
hex28913700

680605440 has 108 divisors (see below), whose sum is σ = 2178859032. Its totient is φ = 181063680.

The previous prime is 680605439. The next prime is 680605463. The reversal of 680605440 is 44506086.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1616430 + ... + 1616850.

Almost surely, 2680605440 is an apocalyptic number.

680605440 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 680605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089429516).

680605440 is an abundant number, since it is smaller than the sum of its proper divisors (1498253592).

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

680605440 is an frugal number, since it uses more digits than its factorization.

680605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 680605440 is about 26088.4158200532. The cubic root of 680605440 is about 879.6268390299.

The spelling of 680605440 in words is "six hundred eighty million, six hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 421 480 640 768 842 960 1263 1280 1684 1920 2105 2526 3368 3840 4210 5052 6315 6736 8420 10104 12630 13472 16840 20208 25260 26944 33680 40416 50520 53888 67360 80832 101040 107776 134720 161664 177241 202080 269440 323328 354482 404160 531723 538880 708964 808320 886205 1063446 1417928 1616640 1772410 2126892 2658615 2835856 3544820 4253784 5317230 5671712 7089640 8507568 10634460 11343424 14179280 17015136 21268920 22686848 28358560 34030272 42537840 45373696 56717120 68060544 85075680 113434240 136121088 170151360 226868480 340302720 680605440