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989870640 = 243511715281
BaseRepresentation
bin111011000000000…
…011101000110000
32112222121122020120
4323000003220300
54011401330030
6242120210240
733346522143
oct7300035060
92488548216
10989870640
11468835510
12237609980
1312a101795
149567205a
155bd80010
hex3b003a30

989870640 has 160 divisors (see below), whose sum is σ = 3395354112. Its totient is φ = 236544000.

The previous prime is 989870597. The next prime is 989870647. The reversal of 989870640 is 46078989.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (989870647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 184800 + ... + 190080.

Almost surely, 2989870640 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 989870640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697677056).

989870640 is an abundant number, since it is smaller than the sum of its proper divisors (2405483472).

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

989870640 is a wasteful number, since it uses less digits than its factorization.

989870640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 989870640 is about 31462.2097126060. The cubic root of 989870640 is about 996.6120816380.

The spelling of 989870640 in words is "nine hundred eighty-nine million, eight hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 71 80 88 110 120 132 142 165 176 213 220 240 264 284 330 355 426 440 528 568 660 710 781 852 880 1065 1136 1320 1420 1562 1704 2130 2343 2640 2840 3124 3408 3905 4260 4686 5281 5680 6248 7810 8520 9372 10562 11715 12496 15620 15843 17040 18744 21124 23430 26405 31240 31686 37488 42248 46860 52810 58091 62480 63372 79215 84496 93720 105620 116182 126744 158430 174273 187440 211240 232364 253488 290455 316860 348546 374951 422480 464728 580910 633720 697092 749902 871365 929456 1124853 1161820 1267440 1394184 1499804 1742730 1874755 2249706 2323640 2788368 2999608 3485460 3749510 4124461 4499412 4647280 5624265 5999216 6970920 7499020 8248922 8998824 11248530 12373383 13941840 14998040 16497844 17997648 20622305 22497060 24746766 29996080 32995688 41244610 44994120 49493532 61866915 65991376 82489220 89988240 98987064 123733830 164978440 197974128 247467660 329956880 494935320 989870640