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21087984 = 243461953
BaseRepresentation
bin101000001110…
…0011011110000
31110200101021110
41100130123300
520344303414
62031553320
7344150001
oct120343360
943611243
1021087984
11109a3795
12708b840
1344a46c8
142b2d1a8
151cb8459
hex141c6f0

21087984 has 40 divisors (see below), whose sum is σ = 54652752. Its totient is φ = 7006720.

The previous prime is 21087971. The next prime is 21087991. The reversal of 21087984 is 48978012.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 21652 + ... + 22604.

Almost surely, 221087984 is an apocalyptic number.

21087984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21087984 is an abundant number, since it is smaller than the sum of its proper divisors (33564768).

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

21087984 is a wasteful number, since it uses less digits than its factorization.

21087984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 21087984 is about 4592.1655022440. The cubic root of 21087984 is about 276.2771842511.

The spelling of 21087984 in words is "twenty-one million, eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 461 922 953 1383 1844 1906 2766 2859 3688 3812 5532 5718 7376 7624 11064 11436 15248 22128 22872 45744 439333 878666 1317999 1757332 2635998 3514664 5271996 7029328 10543992 21087984