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21274624 = 2137253
BaseRepresentation
bin101000100101…
…0000000000000
31111000212022001
41101022000000
520421241444
62035553344
7345555100
oct121120000
944025261
1021274624
1111010a38
12715b854
13453b647
142b7b200
151d038d4
hex144a000

21274624 has 84 divisors (see below), whose sum is σ = 50426874. Its totient is φ = 8945664.

The previous prime is 21274619. The next prime is 21274639. The reversal of 21274624 is 42647212.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 16257024 + 5017600 = 4032^2 + 2240^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 21274592 and 21274601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 401382 + ... + 401434.

Almost surely, 221274624 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 21274624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25213437).

21274624 is an abundant number, since it is smaller than the sum of its proper divisors (29152250).

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

21274624 is an frugal number, since it uses more digits than its factorization.

21274624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 62 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 21274624 is about 4612.4423031622. The cubic root of 21274624 is about 277.0898586336.

The spelling of 21274624 in words is "twenty-one million, two hundred seventy-four thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 256 371 392 424 448 512 742 784 848 896 1024 1484 1568 1696 1792 2048 2597 2968 3136 3392 3584 4096 5194 5936 6272 6784 7168 8192 10388 11872 12544 13568 14336 20776 23744 25088 27136 28672 41552 47488 50176 54272 57344 83104 94976 100352 108544 166208 189952 200704 217088 332416 379904 401408 434176 664832 759808 1329664 1519616 2659328 3039232 5318656 10637312 21274624