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21305808 = 2433149331
BaseRepresentation
bin101000101000…
…1100111010000
31111002110002000
41101101213100
520423241213
62040354000
7346045026
oct121214720
944073060
1021305808
1111032407
127175900
13454c8b4
142b88716
151d0cc73
hex14519d0

21305808 has 80 divisors (see below), whose sum is σ = 61752000. Its totient is φ = 7032960.

The previous prime is 21305789. The next prime is 21305839. The reversal of 21305808 is 80850312.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64203 + ... + 64533.

It is an arithmetic number, because the mean of its divisors is an integer number (771900).

Almost surely, 221305808 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 21305808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30876000).

21305808 is an abundant number, since it is smaller than the sum of its proper divisors (40446192).

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

21305808 is a wasteful number, since it uses less digits than its factorization.

21305808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 21305808 is about 4615.8214870162. The cubic root of 21305808 is about 277.2251771513.

The spelling of 21305808 in words is "twenty-one million, three hundred five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 149 216 298 331 432 447 596 662 894 993 1192 1324 1341 1788 1986 2384 2648 2682 2979 3576 3972 4023 5296 5364 5958 7152 7944 8046 8937 10728 11916 15888 16092 17874 21456 23832 32184 35748 47664 49319 64368 71496 98638 142992 147957 197276 295914 394552 443871 591828 789104 887742 1183656 1331613 1775484 2367312 2663226 3550968 5326452 7101936 10652904 21305808