Search a number
-
+
21292572 = 223723103107
BaseRepresentation
bin101000100111…
…0011000011100
31111001202220210
41101032120130
520422330242
62040212420
7345661320
oct121163034
944052823
1021292572
1111023474
12716a110
134546872
142b83980
151d08d9c
hex144e61c

21292572 has 96 divisors (see below), whose sum is σ = 60383232. Its totient is φ = 5708736.

The previous prime is 21292561. The next prime is 21292577. The reversal of 21292572 is 27529212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21292577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198943 + ... + 199049.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 221292572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21292572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191616).

21292572 is an abundant number, since it is smaller than the sum of its proper divisors (39090660).

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

21292572 is a wasteful number, since it uses less digits than its factorization.

21292572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 21292572 is about 4614.3874999831. The cubic root of 21292572 is about 277.1677575570.

The spelling of 21292572 in words is "twenty-one million, two hundred ninety-two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 103 107 138 161 206 214 276 309 321 322 412 428 483 618 642 644 721 749 966 1236 1284 1442 1498 1932 2163 2247 2369 2461 2884 2996 4326 4494 4738 4922 7107 7383 8652 8988 9476 9844 11021 14214 14766 16583 17227 22042 28428 29532 33063 33166 34454 44084 49749 51681 66126 66332 68908 77147 99498 103362 132252 154294 198996 206724 231441 253483 308588 462882 506966 760449 925764 1013932 1520898 1774381 3041796 3548762 5323143 7097524 10646286 21292572