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21460768 = 257149643
BaseRepresentation
bin101000111011…
…1011100100000
31111101022122021
41101313130200
520443221033
62043551224
7350261560
oct121673440
944338567
1021460768
111112887a
12722b514
1345a52a4
142bc8da0
151d3db2d
hex1477720

21460768 has 48 divisors (see below), whose sum is σ = 48686400. Its totient is φ = 9121536.

The previous prime is 21460727. The next prime is 21460787. The reversal of 21460768 is 86706412.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33055 + ... + 33697.

It is an arithmetic number, because the mean of its divisors is an integer number (1014300).

Almost surely, 221460768 is an apocalyptic number.

21460768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21460768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24343200).

21460768 is an abundant number, since it is smaller than the sum of its proper divisors (27225632).

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

21460768 is a wasteful number, since it uses less digits than its factorization.

21460768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 21460768 is about 4632.5768207338. The cubic root of 21460768 is about 277.8956529177.

The spelling of 21460768 in words is "twenty-one million, four hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 149 224 298 596 643 1043 1192 1286 2086 2384 2572 4172 4501 4768 5144 8344 9002 10288 16688 18004 20576 33376 36008 72016 95807 144032 191614 383228 670649 766456 1341298 1532912 2682596 3065824 5365192 10730384 21460768