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21811104 = 2532731349
BaseRepresentation
bin101001100110…
…0111110100000
31112001010012200
41103030332200
521040423404
62055253200
7353251140
oct123147640
945033180
1021811104
1111348007
12737a200
1346988a3
142c7a920
151dac839
hex14ccfa0

21811104 has 144 divisors (see below), whose sum is σ = 73382400. Its totient is φ = 6013440.

The previous prime is 21811087. The next prime is 21811109. The reversal of 21811104 is 40111812.

It is a tau number, because it is divible by the number of its divisors (144).

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 (21811109) 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, 62322 + ... + 62670.

It is an arithmetic number, because the mean of its divisors is an integer number (509600).

Almost surely, 221811104 is an apocalyptic number.

21811104 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 21811104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691200).

21811104 is an abundant number, since it is smaller than the sum of its proper divisors (51571296).

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

21811104 is a wasteful number, since it uses less digits than its factorization.

21811104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 21811104 is about 4670.2359683425. The cubic root of 21811104 is about 279.3996661554.

Adding to 21811104 its reverse (40111812), we get a palindrome (61922916).

The spelling of 21811104 in words is "twenty-one million, eight hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 349 372 434 496 504 558 651 672 698 744 868 992 1008 1047 1116 1302 1396 1488 1736 1953 2016 2094 2232 2443 2604 2792 2976 3141 3472 3906 4188 4464 4886 5208 5584 6282 6944 7329 7812 8376 8928 9772 10416 10819 11168 12564 14658 15624 16752 19544 20832 21638 21987 25128 29316 31248 32457 33504 39088 43276 43974 50256 58632 62496 64914 75733 78176 86552 87948 97371 100512 117264 129828 151466 173104 175896 194742 227199 234528 259656 302932 346208 351792 389484 454398 519312 605864 681597 703584 778968 908796 1038624 1211728 1363194 1557936 1817592 2423456 2726388 3115872 3635184 5452776 7270368 10905552 21811104