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1044072 = 233217853
BaseRepresentation
bin11111110111001101000
31222001012100
43332321220
5231402242
634213400
711605641
oct3767150
91861170
101044072
11653477
12424260
132a72c3
141d26c8
1515954c
hexfee68

1044072 has 48 divisors (see below), whose sum is σ = 2997540. Its totient is φ = 327168.

The previous prime is 1044053. The next prime is 1044079. The reversal of 1044072 is 2704401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1028196 + 15876 = 1014^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1044079) 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 11 ways as a sum of consecutive naturals, for example, 798 + ... + 1650.

21044072 is an apocalyptic number.

1044072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498770).

1044072 is an abundant number, since it is smaller than the sum of its proper divisors (1953468).

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

1044072 is a wasteful number, since it uses less digits than its factorization.

1044072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1044072 is about 1021.7984145613. The cubic root of 1044072 is about 101.4479984704.

Adding to 1044072 its reverse (2704401), we get a palindrome (3748473).

The spelling of 1044072 in words is "one million, forty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 853 1224 1706 2559 3412 5118 6824 7677 10236 14501 15354 20472 29002 30708 43503 58004 61416 87006 116008 130509 174012 261018 348024 522036 1044072