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21444080 = 2457149257
BaseRepresentation
bin101000111001…
…1010111110000
31111100110202012
41101303113300
520442202310
62043342052
7350162120
oct121632760
944313665
1021444080
1111117289
127221928
13459a808
142bc2c80
151d38c05
hex14735f0

21444080 has 80 divisors (see below), whose sum is σ = 57585600. Its totient is φ = 7274496.

The previous prime is 21444067. The next prime is 21444083. The reversal of 21444080 is 8044412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21444083) 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, 83312 + ... + 83568.

It is an arithmetic number, because the mean of its divisors is an integer number (719820).

Almost surely, 221444080 is an apocalyptic number.

21444080 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 21444080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28792800).

21444080 is an abundant number, since it is smaller than the sum of its proper divisors (36141520).

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

21444080 is a wasteful number, since it uses less digits than its factorization.

21444080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 21444080 is about 4630.7753130550. The cubic root of 21444080 is about 277.8236032249.

Adding to 21444080 its reverse (8044412), we get a palindrome (29488492).

The spelling of 21444080 in words is "twenty-one million, four hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 149 257 280 298 514 560 596 745 1028 1043 1192 1285 1490 1799 2056 2086 2384 2570 2980 3598 4112 4172 5140 5215 5960 7196 8344 8995 10280 10430 11920 14392 16688 17990 20560 20860 28784 35980 38293 41720 71960 76586 83440 143920 153172 191465 268051 306344 382930 536102 612688 765860 1072204 1340255 1531720 2144408 2680510 3063440 4288816 5361020 10722040 21444080