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21280608 = 2532193889
BaseRepresentation
bin101000100101…
…1011101100000
31111001011111200
41101023131200
520421434413
62040041200
7345611406
oct121133540
944034450
1021280608
1111015488
127163200
13454129b
142b7d476
151d05573
hex144b760

21280608 has 72 divisors (see below), whose sum is σ = 63718200. Its totient is φ = 6718464.

The previous prime is 21280579. The next prime is 21280639. The reversal of 21280608 is 80608212.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3528 + ... + 7416.

It is an arithmetic number, because the mean of its divisors is an integer number (884975).

Almost surely, 221280608 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 21280608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31859100).

21280608 is an abundant number, since it is smaller than the sum of its proper divisors (42437592).

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

21280608 is a wasteful number, since it uses less digits than its factorization.

21280608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 21280608 is about 4613.0909377553. The cubic root of 21280608 is about 277.1158355953.

The spelling of 21280608 in words is "twenty-one million, two hundred eighty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 3889 5472 7778 11667 15556 23334 31112 35001 46668 62224 70002 73891 93336 124448 140004 147782 186672 221673 280008 295564 373344 443346 560016 591128 665019 886692 1120032 1182256 1330038 1773384 2364512 2660076 3546768 5320152 7093536 10640304 21280608