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21421584 = 243416529
BaseRepresentation
bin101000110110…
…1111000010000
31111022022220000
41101231320100
520440442314
62043050000
7350036412
oct121557020
944268800
1021421584
1111101398
127210900
1345904c2
142bb89b2
151d32209
hex146de10

21421584 has 50 divisors (see below), whose sum is σ = 62004030. Its totient is φ = 7140096.

The previous prime is 21421559. The next prime is 21421597. The reversal of 21421584 is 48512412.

It can be written as a sum of positive squares in only one way, i.e., 20903184 + 518400 = 4572^2 + 720^2 .

It is a super-2 number, since 2×214215842 = 917768522138112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 6969 + ... + 9560.

Almost surely, 221421584 is an apocalyptic number.

21421584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21421584 is an abundant number, since it is smaller than the sum of its proper divisors (40582446).

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

21421584 is a wasteful number, since it uses less digits than its factorization.

21421584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16549 (or 16534 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 21421584 is about 4628.3457087819. The cubic root of 21421584 is about 277.7264185698.

Adding to 21421584 its reverse (48512412), we get a palindrome (69933996).

The spelling of 21421584 in words is "twenty-one million, four hundred twenty-one thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 16529 33058 49587 66116 99174 132232 148761 198348 264464 297522 396696 446283 595044 793392 892566 1190088 1338849 1785132 2380176 2677698 3570264 5355396 7140528 10710792 21421584