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20810944 = 2671141103
BaseRepresentation
bin100111101100…
…0110011000000
31110011022020201
41033120303000
520311422234
62022014544
7341614210
oct117306300
943138221
1020810944
1110824630
126b77454
13440858b
142a9a240
151c61314
hex13d8cc0

20810944 has 112 divisors (see below), whose sum is σ = 53254656. Its totient is φ = 7833600.

The previous prime is 20810897. The next prime is 20810981. The reversal of 20810944 is 44901802.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×208109442 = 866190780342272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 201997 + ... + 202099.

It is an arithmetic number, because the mean of its divisors is an integer number (475488).

Almost surely, 220810944 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 20810944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26627328).

20810944 is an abundant number, since it is smaller than the sum of its proper divisors (32443712).

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

20810944 is a wasteful number, since it uses less digits than its factorization.

20810944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 20810944 is about 4561.9013579866. The cubic root of 20810944 is about 275.0619981428.

The spelling of 20810944 in words is "twenty million, eight hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 64 77 82 88 103 112 154 164 176 206 224 287 308 328 352 412 448 451 574 616 656 704 721 824 902 1133 1148 1232 1312 1442 1648 1804 2266 2296 2464 2624 2884 3157 3296 3608 4223 4532 4592 4928 5768 6314 6592 7216 7931 8446 9064 9184 11536 12628 14432 15862 16892 18128 18368 23072 25256 28864 29561 31724 33784 36256 46144 46453 50512 59122 63448 67568 72512 92906 101024 118244 126896 135136 185812 202048 236488 253792 270272 325171 371624 472976 507584 650342 743248 945952 1300684 1486496 1891904 2601368 2972992 5202736 10405472 20810944