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20844440 = 23523139163
BaseRepresentation
bin100111110000…
…0111110011000
31110020000012022
41033200332120
520314010230
62022434012
7342113651
oct117407630
943200168
1020844440
1110847811
126b92908
13441a8b6
142aa8528
151c6b1e5
hex13e0f98

20844440 has 64 divisors (see below), whose sum is σ = 49593600. Its totient is φ = 7869312.

The previous prime is 20844433. The next prime is 20844443. The reversal of 20844440 is 4444802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20844443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127799 + ... + 127961.

It is an arithmetic number, because the mean of its divisors is an integer number (774900).

Almost surely, 220844440 is an apocalyptic number.

20844440 is a gapful number since it is divisible by the number (20) 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 20844440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24796800).

20844440 is an abundant number, since it is smaller than the sum of its proper divisors (28749160).

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

20844440 is a wasteful number, since it uses less digits than its factorization.

20844440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 20844440 is about 4565.5711581356. The cubic root of 20844440 is about 275.2094932614.

The spelling of 20844440 in words is "twenty million, eight hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 139 163 184 230 278 326 460 556 652 695 815 920 1112 1304 1390 1630 2780 3197 3260 3749 5560 6394 6520 7498 12788 14996 15985 18745 22657 25576 29992 31970 37490 45314 63940 74980 90628 113285 127880 149960 181256 226570 453140 521111 906280 1042222 2084444 2605555 4168888 5211110 10422220 20844440