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1056144 = 24322003
BaseRepresentation
bin100000001110110010000
31222122202110
410001312100
5232244034
634345320
711656065
oct4016620
91878673
101056144
11661551
1242b240
132ac94b
141d6c6c
1515cde9
hex101d90

1056144 has 20 divisors (see below), whose sum is σ = 2728496. Its totient is φ = 352032.

The previous prime is 1056113. The next prime is 1056149. The reversal of 1056144 is 4416501.

It is a super-2 number, since 2×10561442 = 2230880297472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056144.

It is not an unprimeable number, because it can be changed into a prime (1056149) 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 3 ways as a sum of consecutive naturals, for example, 10954 + ... + 11049.

21056144 is an apocalyptic number.

It is an amenable number.

1056144 is an abundant number, since it is smaller than the sum of its proper divisors (1672352).

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

1056144 is a wasteful number, since it uses less digits than its factorization.

1056144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22014 (or 22008 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1056144 is about 1027.6886688098. The cubic root of 1056144 is about 101.8374959495.

The spelling of 1056144 in words is "one million, fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 22003 44006 66009 88012 132018 176024 264036 352048 528072 1056144