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21384768 = 263127877
BaseRepresentation
bin101000110010…
…0111001000000
31111020110101110
41101210321000
520433303033
62042203320
7346524156
oct121447100
944213343
1021384768
1111086769
1271b3540
134579812
142ba93d6
151d26363
hex1464e40

21384768 has 56 divisors (see below), whose sum is σ = 57091072. Its totient is φ = 7064064.

The previous prime is 21384767. The next prime is 21384773. The reversal of 21384768 is 86748312.

It is not an unprimeable number, because it can be changed into a prime (21384763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23946 + ... + 24822.

Almost surely, 221384768 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 21384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28545536).

21384768 is an abundant number, since it is smaller than the sum of its proper divisors (35706304).

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

21384768 is a wasteful number, since it uses less digits than its factorization.

21384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1009 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 21384768 is about 4624.3667674612. The cubic root of 21384768 is about 277.5672233862.

The spelling of 21384768 in words is "twenty-one million, three hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 877 1016 1524 1754 2032 2631 3048 3508 4064 5262 6096 7016 8128 10524 12192 14032 21048 24384 28064 42096 56128 84192 111379 168384 222758 334137 445516 668274 891032 1336548 1782064 2673096 3564128 5346192 7128256 10692384 21384768