Search a number
-
+
18218880 = 273253163
BaseRepresentation
bin100010101111…
…1111110000000
31021021121121100
41011133332000
514131001010
61450254400
7310600161
oct105377600
937247540
1018218880
11a314129
126127400
133a0b804
1425c3768
1518ed2c0
hex115ff80

18218880 has 96 divisors (see below), whose sum is σ = 62931960. Its totient is φ = 4856832.

The previous prime is 18218867. The next prime is 18218881. The reversal of 18218880 is 8881281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18218881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4179 + ... + 7341.

Almost surely, 218218880 is an apocalyptic number.

18218880 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 18218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31465980).

18218880 is an abundant number, since it is smaller than the sum of its proper divisors (44713080).

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

18218880 is a wasteful number, since it uses less digits than its factorization.

18218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 18218880 is about 4268.3579981065. The cubic root of 18218880 is about 263.1321363700.

It can be divided in two parts, 1821 and 8880, that added together give a palindrome (10701).

The spelling of 18218880 in words is "eighteen million, two hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 3163 5760 6326 9489 12652 15815 18978 25304 28467 31630 37956 47445 50608 56934 63260 75912 94890 101216 113868 126520 142335 151824 189780 202432 227736 253040 284670 303648 379560 404864 455472 506080 569340 607296 759120 910944 1012160 1138680 1214592 1518240 1821888 2024320 2277360 3036480 3643776 4554720 6072960 9109440 18218880