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689378880 = 26354431621
BaseRepresentation
bin101001000101110…
…001011001000000
31210001012002001010
4221011301121000
52402440111010
6152223440520
723040423651
oct5105613100
91701162033
10689378880
11324155613
12172a56140
13aca90bc8
14677b1528
15407c5620
hex29171640

689378880 has 112 divisors (see below), whose sum is σ = 2195072064. Its totient is φ = 183306240.

The previous prime is 689378861. The next prime is 689378891. The reversal of 689378880 is 88873986.

It is a self number, because there is not a number n which added to its sum of digits gives 689378880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424470 + ... + 426090.

Almost surely, 2689378880 is an apocalyptic number.

689378880 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 689378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097536032).

689378880 is an abundant number, since it is smaller than the sum of its proper divisors (1505693184).

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

689378880 is a wasteful number, since it uses less digits than its factorization.

689378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The square root of 689378880 is about 26256.0255941374. The cubic root of 689378880 is about 883.3903647367.

The spelling of 689378880 in words is "six hundred eighty-nine million, three hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 443 480 886 960 1329 1621 1772 2215 2658 3242 3544 4430 4863 5316 6484 6645 7088 8105 8860 9726 10632 12968 13290 14176 16210 17720 19452 21264 24315 25936 26580 28352 32420 35440 38904 42528 48630 51872 53160 64840 70880 77808 85056 97260 103744 106320 129680 141760 155616 194520 212640 259360 311232 389040 425280 518720 718103 778080 1436206 1556160 2154309 2872412 3590515 4308618 5744824 7181030 8617236 10771545 11489648 14362060 17234472 21543090 22979296 28724120 34468944 43086180 45958592 57448240 68937888 86172360 114896480 137875776 172344720 229792960 344689440 689378880