Search a number
-
+
21120660 = 223251110667
BaseRepresentation
bin101000010010…
…0011010010100
31110202001002200
41100210122110
520401330120
62032404500
7344344161
oct120443224
943661080
1021120660
1110a162a0
1270a6730
1344b6542
142b3b068
151cc2e90
hex1424694

21120660 has 72 divisors (see below), whose sum is σ = 69896736. Its totient is φ = 5119680.

The previous prime is 21120637. The next prime is 21120661. The reversal of 21120660 is 6602112.

It is a happy number.

21120660 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 0 + 660 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120661) 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, 3354 + ... + 7313.

It is an arithmetic number, because the mean of its divisors is an integer number (970788).

Almost surely, 221120660 is an apocalyptic number.

21120660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120660 is an abundant number, since it is smaller than the sum of its proper divisors (48776076).

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

21120660 is a wasteful number, since it uses less digits than its factorization.

21120660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10693 (or 10688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21120660 is about 4595.7219237025. The cubic root of 21120660 is about 276.4198085135.

Adding to 21120660 its reverse (6602112), we get a palindrome (27722772).

The spelling of 21120660 in words is "twenty-one million, one hundred twenty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 10667 21334 32001 42668 53335 64002 96003 106670 117337 128004 160005 192006 213340 234674 320010 352011 384012 469348 480015 586685 640020 704022 960030 1056033 1173370 1408044 1760055 1920060 2112066 2346740 3520110 4224132 5280165 7040220 10560330 21120660