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6398290980 = 22335100911743
BaseRepresentation
bin1011111010101111…
…00010110000100100
3121111220111212012000
411331113202300210
5101100430302410
62534521325300
7314361401364
oct57527426044
917456455160
106398290980
112793739794
1212a6936830
137ac75c4c3
14449a8a9a4
15276aaedc0
hex17d5e2c24

6398290980 has 96 divisors (see below), whose sum is σ = 19927219200. Its totient is φ = 1704374784.

The previous prime is 6398290939. The next prime is 6398291017. The reversal of 6398290980 is 890928936.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 538989 + ... + 550731.

It is an arithmetic number, because the mean of its divisors is an integer number (207575200).

Almost surely, 26398290980 is an apocalyptic number.

6398290980 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 6398290980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963609600).

6398290980 is an abundant number, since it is smaller than the sum of its proper divisors (13528928220).

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

6398290980 is a wasteful number, since it uses less digits than its factorization.

6398290980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12770 (or 12762 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 6398290980 is about 79989.3179118312. The cubic root of 6398290980 is about 1856.4702568963.

The spelling of 6398290980 in words is "six billion, three hundred ninety-eight million, two hundred ninety thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1009 2018 3027 4036 5045 6054 9081 10090 11743 12108 15135 18162 20180 23486 27243 30270 35229 36324 45405 46972 54486 58715 60540 70458 90810 105687 108972 117430 136215 140916 176145 181620 211374 234860 272430 317061 352290 422748 528435 544860 634122 704580 1056870 1268244 1585305 2113740 3170610 6341220 11848687 23697374 35546061 47394748 59243435 71092122 106638183 118486870 142184244 177730305 213276366 236973740 319914549 355460610 426552732 533190915 639829098 710921220 1066381830 1279658196 1599572745 2132763660 3199145490 6398290980