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2139140 = 225106957
BaseRepresentation
bin1000001010010000000100
311000200100102
420022100010
51021423030
6113503232
724116363
oct10122004
94020312
102139140
111231193
12871b18
1359b883
143d97da
152c3c45
hex20a404

2139140 has 12 divisors (see below), whose sum is σ = 4492236. Its totient is φ = 855648.

The previous prime is 2139131. The next prime is 2139143. The reversal of 2139140 is 419312.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 1643524 = 704^2 + 1282^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 106957 = 2139140 / (2 + 1 + 3 + 9 + 1 + 4 + 0).

It is not an unprimeable number, because it can be changed into a prime (2139143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53459 + ... + 53498.

It is an arithmetic number, because the mean of its divisors is an integer number (374353).

22139140 is an apocalyptic number.

2139140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2139140 is an abundant number, since it is smaller than the sum of its proper divisors (2353096).

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

2139140 is a wasteful number, since it uses less digits than its factorization.

2139140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106966 (or 106964 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 2139140 is about 1462.5799123467. The cubic root of 2139140 is about 128.8486095345.

The spelling of 2139140 in words is "two million, one hundred thirty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 106957 213914 427828 534785 1069570 2139140