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21037000 = 2353109193
BaseRepresentation
bin101000000111…
…1111111001000
31110120210100011
41100033333020
520341141000
62030521304
7343545235
oct120177710
943523304
1021037000
1110969456
127066234
13448743a
142b1878c
151ca82ba
hex140ffc8

21037000 has 64 divisors (see below), whose sum is σ = 49935600. Its totient is φ = 8294400.

The previous prime is 21036991. The next prime is 21037013. The reversal of 21037000 is 73012.

It can be written as a sum of positive squares in 8 ways, for example, as 443556 + 20593444 = 666^2 + 4538^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108904 + ... + 109096.

Almost surely, 221037000 is an apocalyptic number.

21037000 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 21037000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24967800).

21037000 is an abundant number, since it is smaller than the sum of its proper divisors (28898600).

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

21037000 is a wasteful number, since it uses less digits than its factorization.

21037000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 21037000 is about 4586.6109492740. The cubic root of 21037000 is about 276.0543546243.

The spelling of 21037000 in words is "twenty-one million, thirty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 193 200 218 250 386 436 500 545 772 872 965 1000 1090 1544 1930 2180 2725 3860 4360 4825 5450 7720 9650 10900 13625 19300 21037 21800 24125 27250 38600 42074 48250 54500 84148 96500 105185 109000 168296 193000 210370 420740 525925 841480 1051850 2103700 2629625 4207400 5259250 10518500 21037000