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21034800 = 2432525843
BaseRepresentation
bin101000000111…
…1011100110000
31110120200022200
41100033130300
520341103200
62030503200
7343535643
oct120173460
943520280
1021034800
1110967836
127064b00
134486437
142b17a5a
151ca7800
hex140f730

21034800 has 90 divisors (see below), whose sum is σ = 73009092. Its totient is φ = 5608320.

The previous prime is 21034787. The next prime is 21034807. The reversal of 21034800 is 843012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×210348002 = 884925622080000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21034807) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 679 + ... + 6521.

Almost surely, 221034800 is an apocalyptic number.

21034800 is a gapful number since it is divisible by the number (20) 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 21034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36504546).

21034800 is an abundant number, since it is smaller than the sum of its proper divisors (51974292).

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

21034800 is a wasteful number, since it uses less digits than its factorization.

21034800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5853 counting only the distinct ones).

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

The square root of 21034800 is about 4586.3711145087. The cubic root of 21034800 is about 276.0447312503.

Adding to 21034800 its reverse (843012), we get a palindrome (21877812).

It can be divided in two parts, 2103 and 4800, that added together give a triangular number (6903 = T117).

The spelling of 21034800 in words is "twenty-one million, thirty-four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 5843 11686 17529 23372 29215 35058 46744 52587 58430 70116 87645 93488 105174 116860 140232 146075 175290 210348 233720 262935 280464 292150 350580 420696 438225 467440 525870 584300 701160 841392 876450 1051740 1168600 1314675 1402320 1752900 2103480 2337200 2629350 3505800 4206960 5258700 7011600 10517400 21034800