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210300000 = 25355701
BaseRepresentation
bin11001000100011…
…10110001100000
3112122201100100220
430202032301200
5412314100000
632511243040
75132343351
oct1442166140
9478640326
10210300000
11a8788559
125a519480
1334752591
141dd03d28
15136e11a0
hexc88ec60

210300000 has 144 divisors (see below), whose sum is σ = 690987024. Its totient is φ = 56000000.

The previous prime is 210299993. The next prime is 210300007. The reversal of 210300000 is 3012.

210300000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210299993) and next prime (210300007).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (210300007) 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 23 ways as a sum of consecutive naturals, for example, 299650 + ... + 300350.

It is an arithmetic number, because the mean of its divisors is an integer number (4798521).

Almost surely, 2210300000 is an apocalyptic number.

210300000 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 210300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345493512).

210300000 is an abundant number, since it is smaller than the sum of its proper divisors (480687024).

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

210300000 is an frugal number, since it uses more digits than its factorization.

210300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 711 counting only the distinct ones).

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

The square root of 210300000 is about 14501.7240354380. The cubic root of 210300000 is about 594.6751045029.

Adding to 210300000 its reverse (3012), we get a palindrome (210303012).

The spelling of 210300000 in words is "two hundred ten million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 701 750 800 1000 1200 1250 1402 1500 1875 2000 2103 2400 2500 2804 3000 3125 3505 3750 4000 4206 5000 5608 6000 6250 7010 7500 8412 9375 10000 10515 11216 12000 12500 14020 15000 16824 17525 18750 20000 21030 22432 25000 28040 30000 33648 35050 37500 42060 50000 52575 56080 60000 67296 70100 75000 84120 87625 100000 105150 112160 140200 150000 168240 175250 210300 262875 280400 300000 336480 350500 420600 438125 525750 560800 701000 841200 876250 1051500 1314375 1402000 1682400 1752500 2103000 2190625 2628750 2804000 3505000 4206000 4381250 5257500 6571875 7010000 8412000 8762500 10515000 13143750 14020000 17525000 21030000 26287500 35050000 42060000 52575000 70100000 105150000 210300000