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21114272 = 2517371049
BaseRepresentation
bin101000010001…
…0110110100000
31110201201100002
41100202312200
520401124042
62032315132
7344316434
oct120426640
943651302
1021114272
1110a11513
1270a2aa8
1344b366a
142b389c4
151cc1132
hex1422da0

21114272 has 48 divisors (see below), whose sum is σ = 45246600. Its totient is φ = 9658368.

The previous prime is 21114257. The next prime is 21114283. The reversal of 21114272 is 27241112.

It can be written as a sum of positive squares in 4 ways, for example, as 20106256 + 1008016 = 4484^2 + 1004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19604 + ... + 20652.

Almost surely, 221114272 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 21114272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22623300).

21114272 is an abundant number, since it is smaller than the sum of its proper divisors (24132328).

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

21114272 is a wasteful number, since it uses less digits than its factorization.

21114272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1105 counting only the distinct ones).

The product of its digits is 224, while the sum is 20.

The square root of 21114272 is about 4595.0268769617. The cubic root of 21114272 is about 276.3919377337.

Adding to 21114272 its reverse (27241112), we get a palindrome (48355384).

The spelling of 21114272 in words is "twenty-one million, one hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 1049 1184 1258 2098 2516 4196 5032 8392 10064 16784 17833 20128 33568 35666 38813 71332 77626 142664 155252 285328 310504 570656 621008 659821 1242016 1319642 2639284 5278568 10557136 21114272