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21003000 = 233537001
BaseRepresentation
bin101000000011…
…1101011111000
31110112001200220
41100013223320
520334044000
62030100040
7343344144
oct120075370
943461626
1021003000
1110945957
12704a620
134474b15
142b0a224
151c9d1a0
hex1407af8

21003000 has 64 divisors (see below), whose sum is σ = 65538720. Its totient is φ = 5600000.

The previous prime is 21002987. The next prime is 21003001. The reversal of 21003000 is 30012.

It is a super-2 number, since 2×210030002 = 882252018000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21003000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21003001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501 + ... + 6500.

Almost surely, 221003000 is an apocalyptic number.

21003000 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 21003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32769360).

21003000 is an abundant number, since it is smaller than the sum of its proper divisors (44535720).

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

21003000 is a wasteful number, since it uses less digits than its factorization.

21003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7025 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 21003000 is about 4582.9030101018. The cubic root of 21003000 is about 275.9055547467.

Adding to 21003000 its reverse (30012), we get a palindrome (21033012).

The spelling of 21003000 in words is "twenty-one million, three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 7001 14002 21003 28004 35005 42006 56008 70010 84012 105015 140020 168024 175025 210030 280040 350050 420060 525075 700100 840120 875125 1050150 1400200 1750250 2100300 2625375 3500500 4200600 5250750 7001000 10501500 21003000