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21468272 = 2472139197
BaseRepresentation
bin101000111100…
…1010001110000
31111101200221012
41101321101300
520443441042
62044050052
7350322500
oct121712160
944350835
1021468272
1111133481
127233928
1345a8827
142bcba00
151d40e82
hex1479470

21468272 has 60 divisors (see below), whose sum is σ = 48981240. Its totient is φ = 9088128.

The previous prime is 21468259. The next prime is 21468277. The reversal of 21468272 is 27286412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21468277) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 108878 + ... + 109074.

It is an arithmetic number, because the mean of its divisors is an integer number (816354).

Almost surely, 221468272 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 21468272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24490620).

21468272 is an abundant number, since it is smaller than the sum of its proper divisors (27512968).

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

21468272 is a wasteful number, since it uses less digits than its factorization.

21468272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 21468272 is about 4633.3866663597. The cubic root of 21468272 is about 277.9280389282.

It can be divided in two parts, 214 and 68272, that added together give a palindrome (68486).

The spelling of 21468272 in words is "twenty-one million, four hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 139 196 197 278 392 394 556 784 788 973 1112 1379 1576 1946 2224 2758 3152 3892 5516 6811 7784 9653 11032 13622 15568 19306 22064 27244 27383 38612 54488 54766 77224 108976 109532 154448 191681 219064 383362 438128 766724 1341767 1533448 2683534 3066896 5367068 10734136 21468272