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2130030 = 23357323
BaseRepresentation
bin1000001000000001101110
311000012212000
420020001232
51021130110
6113353130
724051000
oct10100156
94005760
102130030
111225361
128687a6
13597696
143d6370
152c11c0
hex20806e

2130030 has 128 divisors (see below), whose sum is σ = 6912000. Its totient is φ = 465696.

The previous prime is 2130013. The next prime is 2130031. The reversal of 2130030 is 300312.

It is a happy number.

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 = 2129994 and 2130021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92599 + ... + 92621.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

22130030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456000).

2130030 is an abundant number, since it is smaller than the sum of its proper divisors (4781970).

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

2130030 is a wasteful number, since it uses less digits than its factorization.

2130030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2130030 is about 1459.4622297271. The cubic root of 2130030 is about 128.6654391798.

Adding to 2130030 its reverse (300312), we get a palindrome (2430342).

The spelling of 2130030 in words is "two million, one hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 49 54 63 69 70 90 98 105 115 126 135 138 147 161 189 207 210 230 245 270 294 315 322 343 345 378 414 441 483 490 621 630 686 690 735 805 882 945 966 1029 1035 1127 1242 1323 1449 1470 1610 1715 1890 2058 2070 2205 2254 2415 2646 2898 3087 3105 3381 3430 4347 4410 4830 5145 5635 6174 6210 6615 6762 7245 7889 8694 9261 10143 10290 11270 13230 14490 15435 15778 16905 18522 20286 21735 23667 30429 30870 33810 39445 43470 46305 47334 50715 60858 71001 78890 92610 101430 118335 142002 152145 213003 236670 304290 355005 426006 710010 1065015 2130030