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210002020 = 22517738461
BaseRepresentation
bin11001000010001…
…10000001100100
3112122011012121121
430201012001210
5412230031040
632501023324
75126662534
oct1441060144
9478135547
10210002020
11a85a4698
125a3b4b44
1334679a67
141dc674c4
1513682c4a
hexc846064

210002020 has 48 divisors (see below), whose sum is σ = 473398128. Its totient is φ = 77967360.

The previous prime is 210001951. The next prime is 210002069. The reversal of 210002020 is 20200012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17791524 + 192210496 = 4218^2 + 13864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210001994 and 210002012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20590 + ... + 29050.

It is an arithmetic number, because the mean of its divisors is an integer number (9862461).

Almost surely, 2210002020 is an apocalyptic number.

210002020 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 210002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236699064).

210002020 is an abundant number, since it is smaller than the sum of its proper divisors (263396108).

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

210002020 is a wasteful number, since it uses less digits than its factorization.

210002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8560 (or 8558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 210002020 is about 14491.4464426433. The cubic root of 210002020 is about 594.3941010991.

Adding to 210002020 its reverse (20200012), we get a palindrome (230202032).

The spelling of 210002020 in words is "two hundred ten million, two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 2482 4964 6205 8461 12410 16922 24820 33844 42305 84610 143837 169220 287674 575348 617653 719185 1235306 1438370 2470612 2876740 3088265 6176530 10500101 12353060 21000202 42000404 52500505 105001010 210002020