Search a number
-
+
12008880 = 24325131283
BaseRepresentation
bin101101110011…
…110110110000
3211121010002100
4231303312300
511033241010
61105220400
7204034212
oct55636660
924533070
1012008880
1168624a4
124031700
132646060
1418485b2
1510c32c0
hexb73db0

12008880 has 120 divisors (see below), whose sum is σ = 43465968. Its totient is φ = 2953728.

The previous prime is 12008863. The next prime is 12008881. The reversal of 12008880 is 8880021.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (12008881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8719 + ... + 10001.

Almost surely, 212008880 is an apocalyptic number.

12008880 is a gapful number since it is divisible by the number (10) 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 12008880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21732984).

12008880 is an abundant number, since it is smaller than the sum of its proper divisors (31457088).

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

12008880 is a wasteful number, since it uses less digits than its factorization.

12008880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 12008880 is about 3465.3830957053. The cubic root of 12008880 is about 228.9993071558. Note that the first 3 decimals are identical.

The spelling of 12008880 in words is "twelve million, eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1283 1560 1872 2340 2566 3120 3849 4680 5132 6415 7698 9360 10264 11547 12830 15396 16679 19245 20528 23094 25660 30792 33358 38490 46188 50037 51320 57735 61584 66716 76980 83395 92376 100074 102640 115470 133432 150111 153960 166790 184752 200148 230940 250185 266864 300222 307920 333580 400296 461880 500370 600444 667160 750555 800592 923760 1000740 1200888 1334320 1501110 2001480 2401776 3002220 4002960 6004440 12008880