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2065408 = 2102017
BaseRepresentation
bin111111000010000000000
310212221012121
413320100000
51012043113
6112134024
723361412
oct7702000
93787177
102065408
111190854
12837314
13574147
143ba9b2
152abe8d
hex1f8400

2065408 has 22 divisors (see below), whose sum is σ = 4130846. Its totient is φ = 1032192.

The previous prime is 2065397. The next prime is 2065411. The reversal of 2065408 is 8045602.

It can be written as a sum of positive squares in only one way, i.e., 1982464 + 82944 = 1408^2 + 288^2 .

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 as a sum of consecutive naturals, namely, 16 + ... + 2032.

22065408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065423).

2065408 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2065408 is an equidigital number, since it uses as much as digits as its factorization.

2065408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2065408 is about 1437.1527406647. The cubic root of 2065408 is about 127.3508803854.

The spelling of 2065408 in words is "two million, sixty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2017 4034 8068 16136 32272 64544 129088 258176 516352 1032704 2065408