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21643104 = 2537243107
BaseRepresentation
bin101001010001…
…1111101100000
31111201120202110
41102203331200
521020034404
62051515320
7351651300
oct122437540
944646673
1021643104
111124286a
1272b8b40
13463a292
142c35600
151d77b89
hex14a3f60

21643104 has 144 divisors (see below), whose sum is σ = 68257728. Its totient is φ = 5983488.

The previous prime is 21643103. The next prime is 21643117. The reversal of 21643104 is 40134612.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21643103) 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, 202219 + ... + 202325.

It is an arithmetic number, because the mean of its divisors is an integer number (474012).

Almost surely, 221643104 is an apocalyptic number.

21643104 is a gapful number since it is divisible by the number (24) 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 21643104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34128864).

21643104 is an abundant number, since it is smaller than the sum of its proper divisors (46614624).

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

21643104 is a wasteful number, since it uses less digits than its factorization.

21643104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 21643104 is about 4652.2149563407. The cubic root of 21643104 is about 278.6804578947.

Adding to 21643104 its reverse (40134612), we get a palindrome (61777716).

The spelling of 21643104 in words is "twenty-one million, six hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 49 56 84 86 96 98 107 112 129 147 168 172 196 214 224 258 294 301 321 336 344 392 428 516 588 602 642 672 688 749 784 856 903 1032 1176 1204 1284 1376 1498 1568 1712 1806 2064 2107 2247 2352 2408 2568 2996 3424 3612 4128 4214 4494 4601 4704 4816 5136 5243 5992 6321 7224 8428 8988 9202 9632 10272 10486 11984 12642 13803 14448 15729 16856 17976 18404 20972 23968 25284 27606 28896 31458 32207 33712 35952 36808 41944 50568 55212 62916 64414 67424 71904 73616 83888 96621 101136 110424 125832 128828 147232 167776 193242 202272 220848 225449 251664 257656 386484 441696 450898 503328 515312 676347 772968 901796 1030624 1352694 1545936 1803592 2705388 3091872 3607184 5410776 7214368 10821552 21643104