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21024768 = 21232959
BaseRepresentation
bin101000000110…
…1000000000000
31110120011120010
41100031000000
520340243033
62030344520
7343464462
oct120150000
943504503
1021024768
1110960246
12705b140
1344819bb
142b14132
151ca4863
hex140d000

21024768 has 104 divisors (see below), whose sum is σ = 58975200. Its totient is φ = 6651904.

The previous prime is 21024761. The next prime is 21024793. The reversal of 21024768 is 86742012.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21024761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 356323 + ... + 356381.

Almost surely, 221024768 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 21024768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29487600).

21024768 is an abundant number, since it is smaller than the sum of its proper divisors (37950432).

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

21024768 is an equidigital number, since it uses as much as digits as its factorization.

21024768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 21024768 is about 4585.2773089531. The cubic root of 21024768 is about 276.0008401571. Note that the first 3 decimals are identical.

The spelling of 21024768 in words is "twenty-one million, twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 59 64 87 96 116 118 128 174 177 192 232 236 256 348 354 384 464 472 512 696 708 768 928 944 1024 1392 1416 1536 1711 1856 1888 2048 2784 2832 3072 3422 3712 3776 4096 5133 5568 5664 6144 6844 7424 7552 10266 11136 11328 12288 13688 14848 15104 20532 22272 22656 27376 29696 30208 41064 44544 45312 54752 59392 60416 82128 89088 90624 109504 118784 120832 164256 178176 181248 219008 241664 328512 356352 362496 438016 657024 724992 876032 1314048 1752064 2628096 3504128 5256192 7008256 10512384 21024768