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2148393 = 313311777
BaseRepresentation
bin1000001100100000101001
311001011001010
420030200221
51022222033
6114014133
724155352
oct10144051
94034033
102148393
111238135
12877349
135a2b50
143dcd29
152c6863
hex20c829

2148393 has 16 divisors (see below), whose sum is σ = 3186176. Its totient is φ = 1278720.

The previous prime is 2148383. The next prime is 2148397. The reversal of 2148393 is 3938412.

It is not a de Polignac number, because 2148393 - 26 = 2148329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2148393.

It is not an unprimeable number, because it can be changed into a prime (2148397) 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 15 ways as a sum of consecutive naturals, for example, 321 + ... + 2097.

It is an arithmetic number, because the mean of its divisors is an integer number (199136).

22148393 is an apocalyptic number.

It is an amenable number.

2148393 is a deficient number, since it is larger than the sum of its proper divisors (1037783).

2148393 is a wasteful number, since it uses less digits than its factorization.

2148393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824.

The product of its digits is 5184, while the sum is 30.

The square root of 2148393 is about 1465.7397449752. The cubic root of 2148393 is about 129.0341235369.

The spelling of 2148393 in words is "two million, one hundred forty-eight thousand, three hundred ninety-three".

Divisors: 1 3 13 31 39 93 403 1209 1777 5331 23101 55087 69303 165261 716131 2148393