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20821668 = 22372172083
BaseRepresentation
bin100111101101…
…1011010100100
31110011211221220
41033123122210
520312243133
62022140340
7341660400
oct117333244
943154856
1020821668
111083169a
126b816b0
13441041a
142aa0100
151c645b3
hex13db6a4

20821668 has 72 divisors (see below), whose sum is σ = 59869152. Its totient is φ = 5596416.

The previous prime is 20821667. The next prime is 20821709. The reversal of 20821668 is 86612802.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20821667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8955 + ... + 11037.

It is an arithmetic number, because the mean of its divisors is an integer number (831516).

Almost surely, 220821668 is an apocalyptic number.

20821668 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 20821668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29934576).

20821668 is an abundant number, since it is smaller than the sum of its proper divisors (39047484).

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

20821668 is a wasteful number, since it uses less digits than its factorization.

20821668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 20821668 is about 4563.0765937030. The cubic root of 20821668 is about 275.1092370433.

The spelling of 20821668 in words is "twenty million, eight hundred twenty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2083 2499 3332 4166 4998 6249 8332 9996 12498 14581 24996 29162 35411 43743 58324 70822 87486 102067 106233 141644 174972 204134 212466 247877 306201 408268 424932 495754 612402 743631 991508 1224804 1487262 1735139 2974524 3470278 5205417 6940556 10410834 20821668