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21217428 = 22321737937
BaseRepresentation
bin101000011110…
…0000010010100
31110220221211200
41100330002110
520412424203
62034432500
7345226251
oct120740224
943827750
1021217428
1110a81a71
127132730
13451b5bb
142b64428
151ce19a3
hex143c094

21217428 has 72 divisors (see below), whose sum is σ = 58384872. Its totient is φ = 6469632.

The previous prime is 21217421. The next prime is 21217453. The reversal of 21217428 is 82471212.

21217428 is a `hidden beast` number, since 21 + 217 + 428 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4717584 + 16499844 = 2172^2 + 4062^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21217421) 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, 22176 + ... + 23112.

It is an arithmetic number, because the mean of its divisors is an integer number (810901).

Almost surely, 221217428 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 21217428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29192436).

21217428 is an abundant number, since it is smaller than the sum of its proper divisors (37167444).

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

21217428 is a wasteful number, since it uses less digits than its factorization.

21217428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 996 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 21217428 is about 4606.2379443533. The cubic root of 21217428 is about 276.8413206660.

The spelling of 21217428 in words is "twenty-one million, two hundred seventeen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 937 1258 1332 1874 1887 2516 2811 3748 3774 5622 5661 7548 8433 11244 11322 15929 16866 22644 31858 33732 34669 47787 63716 69338 95574 104007 138676 143361 191148 208014 286722 312021 416028 573444 589373 624042 1178746 1248084 1768119 2357492 3536238 5304357 7072476 10608714 21217428