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210020000 = 255410501
BaseRepresentation
bin11001000010010…
…10011010100000
3112122012010021112
430201022122200
5412231120000
632501242452
75130066131
oct1441123240
9478163245
10210020000
11a8607153
125a403428
1334684cb8
141dc6dc88
1513688235
hexc84a6a0

210020000 has 60 divisors (see below), whose sum is σ = 516729906. Its totient is φ = 84000000.

The previous prime is 210019991. The next prime is 210020003. The reversal of 210020000 is 20012.

It can be written as a sum of positive squares in 5 ways, for example, as 1936 + 210018064 = 44^2 + 14492^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (210020003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14750 + ... + 25250.

Almost surely, 2210020000 is an apocalyptic number.

210020000 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 210020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258364953).

210020000 is an abundant number, since it is smaller than the sum of its proper divisors (306709906).

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

210020000 is an equidigital number, since it uses as much as digits as its factorization.

210020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10531 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 210020000 is about 14492.0667953194. The cubic root of 210020000 is about 594.4110642708.

Adding to 210020000 its reverse (20012), we get a palindrome (210040012).

The spelling of 210020000 in words is "two hundred ten million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 10501 20000 21002 42004 52505 84008 105010 168016 210020 262525 336032 420040 525050 840080 1050100 1312625 1680160 2100200 2625250 4200400 5250500 6563125 8400800 10501000 13126250 21002000 26252500 42004000 52505000 105010000 210020000