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21000384 = 26344051
BaseRepresentation
bin101000000011…
…1000011000000
31110111221010000
41100013003000
520334003014
62030040000
7343333416
oct120070300
943457100
1021000384
1110943999
127049000
134473882
142b092b6
151c9c509
hex14070c0

21000384 has 70 divisors (see below), whose sum is σ = 62267084. Its totient is φ = 6998400.

The previous prime is 21000367. The next prime is 21000391. The reversal of 21000384 is 48300012.

It is a happy number.

It is a super-2 number, since 2×210003842 = 882032256294912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3159 + ... + 7209.

Almost surely, 221000384 is an apocalyptic number.

21000384 is a gapful number since it is divisible by the number (24) 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 21000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31133542).

21000384 is an abundant number, since it is smaller than the sum of its proper divisors (41266700).

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

21000384 is an equidigital number, since it uses as much as digits as its factorization.

21000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21000384 is about 4582.6175925992. The cubic root of 21000384 is about 275.8940992578.

Adding to 21000384 its reverse (48300012), we get a palindrome (69300396).

The spelling of 21000384 in words is "twenty-one million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 4051 5184 8102 12153 16204 24306 32408 36459 48612 64816 72918 97224 109377 129632 145836 194448 218754 259264 291672 328131 388896 437508 583344 656262 777792 875016 1166688 1312524 1750032 2333376 2625048 3500064 5250096 7000128 10500192 21000384