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989606880 = 253252113257
BaseRepresentation
bin111010111111000…
…011001111100000
32112222010020102200
4322333003033200
54011314410010
6242110413200
733344343153
oct7277031740
92488106380
10989606880
11468675329
12237501200
1312a03b702
1495603c9a
155bd2bcc0
hex3afc33e0

989606880 has 144 divisors (see below), whose sum is σ = 3394080144. Its totient is φ = 262563840.

The previous prime is 989606869. The next prime is 989606897. The reversal of 989606880 is 88606989.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302212 + ... + 305468.

It is an arithmetic number, because the mean of its divisors is an integer number (23570001).

Almost surely, 2989606880 is an apocalyptic number.

989606880 is a gapful number since it is divisible by the number (90) 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 989606880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697040072).

989606880 is an abundant number, since it is smaller than the sum of its proper divisors (2404473264).

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

989606880 is a wasteful number, since it uses less digits than its factorization.

989606880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 989606880 is about 31458.0177379313. The cubic root of 989606880 is about 996.5235550019.

The spelling of 989606880 in words is "nine hundred eighty-nine million, six hundred six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 211 240 288 360 422 480 633 720 844 1055 1266 1440 1688 1899 2110 2532 3165 3257 3376 3798 4220 5064 6330 6514 6752 7596 8440 9495 9771 10128 12660 13028 15192 16285 16880 18990 19542 20256 25320 26056 29313 30384 32570 33760 37980 39084 48855 50640 52112 58626 60768 65140 75960 78168 97710 101280 104224 117252 130280 146565 151920 156336 195420 234504 260560 293130 303840 312672 390840 469008 521120 586260 687227 781680 938016 1172520 1374454 1563360 2061681 2345040 2748908 3436135 4123362 4690080 5497816 6185043 6872270 8246724 10308405 10995632 12370086 13744540 16493448 20616810 21991264 24740172 27489080 30925215 32986896 41233620 49480344 54978160 61850430 65973792 82467240 98960688 109956320 123700860 164934480 197921376 247401720 329868960 494803440 989606880