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2130300 = 223452263
BaseRepresentation
bin1000001000000101111100
311000020020000
420020011330
51021132200
6113354300
724051534
oct10100574
94006200
102130300
111225587
12868990
13597843
143d64c4
152c1300
hex20817c

2130300 has 90 divisors (see below), whose sum is σ = 6931848. Its totient is φ = 565920.

The previous prime is 2130269. The next prime is 2130307. The reversal of 2130300 is 30312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130307) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7969 + ... + 8231.

22130300 is an apocalyptic number.

2130300 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 2130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465924).

2130300 is an abundant number, since it is smaller than the sum of its proper divisors (4801548).

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

2130300 is a wasteful number, since it uses less digits than its factorization.

2130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

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

The square root of 2130300 is about 1459.5547266204. The cubic root of 2130300 is about 128.6708754414.

Adding to 2130300 its reverse (30312), we get a palindrome (2160612).

The spelling of 2130300 in words is "two million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 263 270 300 324 405 450 526 540 675 789 810 900 1052 1315 1350 1578 1620 2025 2367 2630 2700 3156 3945 4050 4734 5260 6575 7101 7890 8100 9468 11835 13150 14202 15780 19725 21303 23670 26300 28404 35505 39450 42606 47340 59175 71010 78900 85212 106515 118350 142020 177525 213030 236700 355050 426060 532575 710100 1065150 2130300