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689120880 = 243571921589
BaseRepresentation
bin101001000100110…
…010011001110000
31210000200222010120
4221010302121300
52402403332010
6152214130240
723035300530
oct5104623160
91700628116
10689120880
11323a99798
12172950980
13aca00646
14677454c0
1540773e70
hex29132670

689120880 has 160 divisors (see below), whose sum is σ = 2570073600. Its totient is φ = 149216256.

The previous prime is 689120869. The next prime is 689120897. The reversal of 689120880 is 88021986.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21126 + ... + 42714.

It is an arithmetic number, because the mean of its divisors is an integer number (16062960).

Almost surely, 2689120880 is an apocalyptic number.

689120880 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 689120880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285036800).

689120880 is an abundant number, since it is smaller than the sum of its proper divisors (1880952720).

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

689120880 is a wasteful number, since it uses less digits than its factorization.

689120880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21631 (or 21625 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 689120880 is about 26251.1119764478. Note that the first 3 decimals coincide. The cubic root of 689120880 is about 883.2801480576.

The spelling of 689120880 in words is "six hundred eighty-nine million, one hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 15960 21589 31920 43178 64767 86356 107945 129534 151123 172712 215890 259068 302246 323835 345424 410191 431780 453369 518136 604492 647670 755615 820382 863560 906738 1036272 1208984 1230573 1295340 1511230 1640764 1727120 1813476 2050955 2266845 2417968 2461146 2590680 2871337 3022460 3281528 3626952 4101910 4533690 4922292 5181360 5742674 6044920 6152865 6563056 7253904 8203820 8614011 9067380 9844584 11485348 12089840 12305730 14356685 16407640 17228022 18134760 19689168 22970696 24611460 28713370 32815280 34456044 36269520 43070055 45941392 49222920 57426740 68912088 86140110 98445840 114853480 137824176 172280220 229706960 344560440 689120880