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2130210 = 232523669
BaseRepresentation
bin1000001000000100100010
311000020002200
420020010202
51021131320
6113354030
724051345
oct10100442
94006080
102130210
111225505
12868916
135977a4
143d645c
152c1290
hex208122

2130210 has 24 divisors (see below), whose sum is σ = 5538780. Its totient is φ = 568032.

The previous prime is 2130209. The next prime is 2130239. The reversal of 2130210 is 120312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2082249 + 47961 = 1443^2 + 219^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2130192 and 2130201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11745 + ... + 11924.

22130210 is an apocalyptic number.

2130210 is an abundant number, since it is smaller than the sum of its proper divisors (3408570).

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

2130210 is a wasteful number, since it uses less digits than its factorization.

2130210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23682 (or 23679 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2130210 is about 1459.5238949740. The cubic root of 2130210 is about 128.6690634052.

Adding to 2130210 its reverse (120312), we get a palindrome (2250522).

It can be divided in two parts, 21302 and 10, that added together give a palindrome (21312).

The spelling of 2130210 in words is "two million, one hundred thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23669 47338 71007 118345 142014 213021 236690 355035 426042 710070 1065105 2130210