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2123140 = 225831279
BaseRepresentation
bin1000000110010110000100
310222212101211
420012112010
51020420030
6113301204
724021625
oct10062604
93885354
102123140
111220168
12864804
135944c6
143d3a4c
152be12a
hex206584

2123140 has 24 divisors (see below), whose sum is σ = 4515840. Its totient is φ = 838368.

The previous prime is 2123137. The next prime is 2123141. The reversal of 2123140 is 413212.

It is a self number, because there is not a number n which added to its sum of digits gives 2123140.

It is not an unprimeable number, because it can be changed into a prime (2123141) 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 7 ways as a sum of consecutive naturals, for example, 1021 + ... + 2299.

It is an arithmetic number, because the mean of its divisors is an integer number (188160).

22123140 is an apocalyptic number.

2123140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123140 is an abundant number, since it is smaller than the sum of its proper divisors (2392700).

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

2123140 is a wasteful number, since it uses less digits than its factorization.

2123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2123140 is about 1457.0998593096. The cubic root of 2123140 is about 128.5265581225.

Adding to 2123140 its reverse (413212), we get a palindrome (2536352).

The spelling of 2123140 in words is "two million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 83 166 332 415 830 1279 1660 2558 5116 6395 12790 25580 106157 212314 424628 530785 1061570 2123140