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2064144 = 24343003
BaseRepresentation
bin111110111111100010000
310212212110210
413313330100
51012023034
6112124120
723354625
oct7677420
93785423
102064144
11118a905
12836640
135736b4
143ba34c
152ab8e9
hex1f7f10

2064144 has 20 divisors (see below), whose sum is σ = 5332496. Its totient is φ = 688032.

The previous prime is 2064143. The next prime is 2064149. The reversal of 2064144 is 4414602.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2064144.

It is not an unprimeable number, because it can be changed into a prime (2064143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21454 + ... + 21549.

22064144 is an apocalyptic number.

2064144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2064144 is an abundant number, since it is smaller than the sum of its proper divisors (3268352).

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

2064144 is a wasteful number, since it uses less digits than its factorization.

2064144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43014 (or 43008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2064144 is about 1436.7129149555. The cubic root of 2064144 is about 127.3248961147.

Adding to 2064144 its reverse (4414602), we get a palindrome (6478746).

The spelling of 2064144 in words is "two million, sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 43003 86006 129009 172012 258018 344024 516036 688048 1032072 2064144