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2138625 = 32531901
BaseRepresentation
bin1000001010001000000001
311000122122100
420022020001
51021414000
6113501013
724115026
oct10121001
94018570
102138625
111230865
12871769
1359b578
143d954d
152c3a00
hex20a201

2138625 has 24 divisors (see below), whose sum is σ = 3857256. Its totient is φ = 1140000.

The previous prime is 2138623. The next prime is 2138629. The reversal of 2138625 is 5268312.

2138625 is a `hidden beast` number, since 2 + 1 + 38 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 1718721 = 648^2 + 1311^2 .

It is not a de Polignac number, because 2138625 - 21 = 2138623 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 28 + 1 + 311 + 82 + 65 + 28 + 59 .

It is not an unprimeable number, because it can be changed into a prime (2138623) 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 23 ways as a sum of consecutive naturals, for example, 175 + ... + 2075.

It is an arithmetic number, because the mean of its divisors is an integer number (160719).

22138625 is an apocalyptic number.

2138625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2138625 is a deficient number, since it is larger than the sum of its proper divisors (1718631).

2138625 is a wasteful number, since it uses less digits than its factorization.

2138625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1909 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2138625 is about 1462.4038429928. The cubic root of 2138625 is about 128.8382685626.

The spelling of 2138625 in words is "two million, one hundred thirty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 1901 5703 9505 17109 28515 47525 85545 142575 237625 427725 712875 2138625