Search a number
-
+
21065472 = 283241223
BaseRepresentation
bin101000001011…
…0111100000000
31110122020101200
41100112330000
520343043342
62031301200
7344024241
oct120267400
943566350
1021065472
111098888a
12707a800
13449739c
142b24cc8
151cb194c
hex1416f00

21065472 has 108 divisors (see below), whose sum is σ = 62497344. Its totient is φ = 6819840.

The previous prime is 21065459. The next prime is 21065477. The reversal of 21065472 is 27456012.

21065472 is a `hidden beast` number, since 2 + 1 + 0 + 654 + 7 + 2 = 666.

It is a super-2 number, since 2×210654722 = 887508221165568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21065477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94353 + ... + 94575.

Almost surely, 221065472 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 21065472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248672).

21065472 is an abundant number, since it is smaller than the sum of its proper divisors (41431872).

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

21065472 is a wasteful number, since it uses less digits than its factorization.

21065472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 21065472 is about 4589.7137165623. The cubic root of 21065472 is about 276.1788380956.

The spelling of 21065472 in words is "twenty-one million, sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 223 246 256 288 328 369 384 446 492 576 656 669 738 768 892 984 1152 1312 1338 1476 1784 1968 2007 2304 2624 2676 2952 3568 3936 4014 5248 5352 5904 7136 7872 8028 9143 10496 10704 11808 14272 15744 16056 18286 21408 23616 27429 28544 31488 32112 36572 42816 47232 54858 57088 64224 73144 82287 85632 94464 109716 128448 146288 164574 171264 219432 256896 292576 329148 438864 513792 585152 658296 877728 1170304 1316592 1755456 2340608 2633184 3510912 5266368 7021824 10532736 21065472