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2133140 = 225106657
BaseRepresentation
bin1000001000110010010100
311000101010012
420020302110
51021230030
6113415352
724063032
oct10106224
94011105
102133140
111227729
1286a558
13598c19
143d7552
152c2095
hex208c94

2133140 has 12 divisors (see below), whose sum is σ = 4479636. Its totient is φ = 853248.

The previous prime is 2133137. The next prime is 2133151. The reversal of 2133140 is 413312.

It can be written as a sum of positive squares in 2 ways, for example, as 1473796 + 659344 = 1214^2 + 812^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 53309 + ... + 53348.

It is an arithmetic number, because the mean of its divisors is an integer number (373303).

22133140 is an apocalyptic number.

2133140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133140 is an abundant number, since it is smaller than the sum of its proper divisors (2346496).

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

2133140 is a wasteful number, since it uses less digits than its factorization.

2133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106666 (or 106664 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2133140 is about 1460.5273020385. The cubic root of 2133140 is about 128.7280290532.

Adding to 2133140 its reverse (413312), we get a palindrome (2546452).

The spelling of 2133140 in words is "two million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 106657 213314 426628 533285 1066570 2133140