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989000880 = 243574791229
BaseRepresentation
bin111010111100101…
…111010010110000
32112220222110011020
4322330233102300
54011141012010
6242045415440
733336240330
oct7274572260
92486873136
10989000880
114682a0aaa
1223726a580
13129b8892a
14954c70c0
155bc5c470
hex3af2f4b0

989000880 has 160 divisors (see below), whose sum is σ = 3514060800. Its totient is φ = 225401856.

The previous prime is 989000813. The next prime is 989000899. The reversal of 989000880 is 88000989.

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

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 31 ways as a sum of consecutive naturals, for example, 804106 + ... + 805334.

It is an arithmetic number, because the mean of its divisors is an integer number (21962880).

Almost surely, 2989000880 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 989000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757030400).

989000880 is an abundant number, since it is smaller than the sum of its proper divisors (2525059920).

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

989000880 is a wasteful number, since it uses less digits than its factorization.

989000880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 989000880 is about 31448.3843782157. The cubic root of 989000880 is about 996.3201016253.

The spelling of 989000880 in words is "nine hundred eighty-nine million, eight hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 479 560 840 958 1229 1437 1680 1916 2395 2458 2874 3353 3687 3832 4790 4916 5748 6145 6706 7185 7374 7664 8603 9580 9832 10059 11496 12290 13412 14370 14748 16765 17206 18435 19160 19664 20118 22992 24580 25809 26824 28740 29496 33530 34412 36870 38320 40236 43015 49160 50295 51618 53648 57480 58992 67060 68824 73740 80472 86030 98320 100590 103236 114960 129045 134120 137648 147480 160944 172060 201180 206472 258090 268240 294960 344120 402360 412944 516180 588691 688240 804720 1032360 1177382 1766073 2064720 2354764 2943455 3532146 4120837 4709528 5886910 7064292 8241674 8830365 9419056 11773820 12362511 14128584 16483348 17660730 20604185 23547640 24725022 28257168 32966696 35321460 41208370 47095280 49450044 61812555 65933392 70642920 82416740 98900088 123625110 141285840 164833480 197800176 247250220 329666960 494500440 989000880