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2140300 = 2252171259
BaseRepresentation
bin1000001010100010001100
311000201221101
420022202030
51021442200
6113512444
724122641
oct10124214
94021841
102140300
111232048
12872724
1359c266
143d9dc8
152c426a
hex20a88c

2140300 has 36 divisors (see below), whose sum is σ = 4921560. Its totient is φ = 805120.

The previous prime is 2140279. The next prime is 2140301. The reversal of 2140300 is 30412.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2140301) 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 11 ways as a sum of consecutive naturals, for example, 1071 + ... + 2329.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

22140300 is an apocalyptic number.

2140300 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 2140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460780).

2140300 is an abundant number, since it is smaller than the sum of its proper divisors (2781260).

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

2140300 is a wasteful number, since it uses less digits than its factorization.

2140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2140300 is about 1462.9764181285. The cubic root of 2140300 is about 128.8718957427.

Adding to 2140300 its reverse (30412), we get a palindrome (2170712).

The spelling of 2140300 in words is "two million, one hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1259 1700 2518 5036 6295 12590 21403 25180 31475 42806 62950 85612 107015 125900 214030 428060 535075 1070150 2140300