Search a number
-
+
21530560 = 265611103
BaseRepresentation
bin101001000100…
…0011111000000
31111111212101011
41102020133000
521002434220
62045250304
7351002212
oct122103700
944455334
1021530560
1111176257
127263994
1345cac9c
142c065b2
151d5465a
hex14887c0

21530560 has 56 divisors (see below), whose sum is σ = 52157376. Its totient is φ = 8463360.

The previous prime is 21530543. The next prime is 21530563. The reversal of 21530560 is 6503512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21530563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18969 + ... + 20071.

Almost surely, 221530560 is an apocalyptic number.

21530560 is a gapful number since it is divisible by the number (20) 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 21530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26078688).

21530560 is an abundant number, since it is smaller than the sum of its proper divisors (30626816).

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

21530560 is a wasteful number, since it uses less digits than its factorization.

21530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 21530560 is about 4640.1034471227. The cubic root of 21530560 is about 278.1965726669.

The spelling of 21530560 in words is "twenty-one million, five hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1103 1220 1952 2206 2440 3904 4412 4880 5515 8824 9760 11030 17648 19520 22060 35296 44120 67283 70592 88240 134566 176480 269132 336415 352960 538264 672830 1076528 1345660 2153056 2691320 4306112 5382640 10765280 21530560