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21444072 = 23313217311
BaseRepresentation
bin101000111001…
…1010111101000
31111100110201220
41101303113220
520442202242
62043342040
7350162106
oct121632750
944313656
1021444072
1111117281
127221920
13459a800
142bc2c76
151d38bec
hex14735e8

21444072 has 96 divisors (see below), whose sum is σ = 61663680. Its totient is φ = 6190080.

The previous prime is 21444067. The next prime is 21444083. The reversal of 21444072 is 27044412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 68797 + ... + 69107.

It is an arithmetic number, because the mean of its divisors is an integer number (642330).

Almost surely, 221444072 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 21444072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30831840).

21444072 is an abundant number, since it is smaller than the sum of its proper divisors (40219608).

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

21444072 is a wasteful number, since it uses less digits than its factorization.

21444072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 21444072 is about 4630.7744492687. The cubic root of 21444072 is about 277.8235686763.

Adding to 21444072 its reverse (27044412), we get a palindrome (48488484).

It can be divided in two parts, 2144 and 4072, that added together give a triangular number (6216 = T111).

The spelling of 21444072 in words is "twenty-one million, four hundred forty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 169 204 221 311 312 338 408 442 507 622 663 676 884 933 1014 1244 1326 1352 1768 1866 2028 2488 2652 2873 3732 4043 4056 5287 5304 5746 7464 8086 8619 10574 11492 12129 15861 16172 17238 21148 22984 24258 31722 32344 34476 42296 48516 52559 63444 68731 68952 97032 105118 126888 137462 157677 206193 210236 274924 315354 412386 420472 549848 630708 824772 893503 1261416 1649544 1787006 2680509 3574012 5361018 7148024 10722036 21444072