Search a number
-
+
21009744 = 24327191097
BaseRepresentation
bin101000000100…
…1010101010000
31110112101221200
41100021111100
520334302434
62030151200
7343402620
oct120112520
943471850
1021009744
111094aa28
127052500
134477c02
142b0c880
151ca0199
hex1409550

21009744 has 120 divisors (see below), whose sum is σ = 70799040. Its totient is φ = 5681664.

The previous prime is 21009743. The next prime is 21009749. The reversal of 21009744 is 44790012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21009743) 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, 18604 + ... + 19700.

It is an arithmetic number, because the mean of its divisors is an integer number (589992).

Almost surely, 221009744 is an apocalyptic number.

21009744 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 21009744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35399520).

21009744 is an abundant number, since it is smaller than the sum of its proper divisors (49789296).

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

21009744 is a wasteful number, since it uses less digits than its factorization.

21009744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 21009744 is about 4583.6387292194. The cubic root of 21009744 is about 275.9350824006.

Adding to 21009744 its reverse (44790012), we get a palindrome (65799756).

The spelling of 21009744 in words is "twenty-one million, nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1097 1197 1368 1596 2128 2194 2394 2736 3192 3291 4388 4788 6384 6582 7679 8776 9576 9873 13164 15358 17552 19152 19746 20843 23037 26328 30716 39492 41686 46074 52656 61432 62529 69111 78984 83372 92148 122864 125058 138222 145901 157968 166744 184296 187587 250116 276444 291802 333488 368592 375174 437703 500232 552888 583604 750348 875406 1000464 1105776 1167208 1313109 1500696 1750812 2334416 2626218 3001392 3501624 5252436 7003248 10504872 21009744