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21137500 = 22551989
BaseRepresentation
bin101000010100…
…0100001011100
31110202220012101
41100220201130
520402400000
62033014444
7344444236
oct120504134
943686171
1021137500
1110a27a0a
1270b4424
1344c10c7
142b43256
151cc7e6a
hex142885c

21137500 has 72 divisors (see below), whose sum is σ = 49215600. Its totient is φ = 7920000.

The previous prime is 21137497. The next prime is 21137507. The reversal of 21137500 is 573112.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21137507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237456 + ... + 237544.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 221137500 is an apocalyptic number.

21137500 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 21137500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24607800).

21137500 is an abundant number, since it is smaller than the sum of its proper divisors (28078100).

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

21137500 is an equidigital number, since it uses as much as digits as its factorization.

21137500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 21137500 is about 4597.5536973482. The cubic root of 21137500 is about 276.4932543396.

The spelling of 21137500 in words is "twenty-one million, one hundred thirty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 89 95 100 125 178 190 250 356 380 445 475 500 625 890 950 1250 1691 1780 1900 2225 2375 2500 3125 3382 4450 4750 6250 6764 8455 8900 9500 11125 11875 12500 16910 22250 23750 33820 42275 44500 47500 55625 59375 84550 111250 118750 169100 211375 222500 237500 278125 422750 556250 845500 1056875 1112500 2113750 4227500 5284375 10568750 21137500