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4080008880 = 2436569959
BaseRepresentation
bin1111001100101111…
…1111111010110000
3101112100020221000000
43303023333322300
531323440241010
61512504430000
7203051334423
oct36313777260
911470227000
104080008880
111804071072
1295a478300
13500385b4c
142a9c1d9ba
1518d2cb7c0
hexf32ffeb0

4080008880 has 140 divisors (see below), whose sum is σ = 14222728080. Its totient is φ = 1087986816.

The previous prime is 4080008879. The next prime is 4080008903. The reversal of 4080008880 is 888000804.

It is a Harshad number since it is a multiple of its sum of digits (36).

4080008880 is a modest number, since divided by 8880 gives 4080 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23341 + ... + 93299.

Almost surely, 24080008880 is an apocalyptic number.

4080008880 is a gapful number since it is divisible by the number (40) 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 4080008880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111364040).

4080008880 is an abundant number, since it is smaller than the sum of its proper divisors (10142719200).

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

4080008880 is an equidigital number, since it uses as much as digits as its factorization.

4080008880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69990 (or 69969 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 4080008880 is about 63874.9472015437. The cubic root of 4080008880 is about 1597.9151073609.

The spelling of 4080008880 in words is "four billion, eighty million, eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 19440 29160 58320 69959 139918 209877 279836 349795 419754 559672 629631 699590 839508 1049385 1119344 1259262 1399180 1679016 1888893 2098770 2518524 2798360 3148155 3358032 3777786 4197540 5037048 5596720 5666679 6296310 7555572 8395080 9444465 10074096 11333358 12592620 15111144 16790160 17000037 18888930 22666716 25185240 28333395 30222288 34000074 37777860 45333432 50370480 51000111 56666790 68000148 75555720 85000185 90666864 102000222 113333580 136000296 151111440 170000370 204000444 226667160 255000555 272000592 340000740 408000888 453334320 510001110 680001480 816001776 1020002220 1360002960 2040004440 4080008880