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1047072 = 25313839
BaseRepresentation
bin11111111101000100000
31222012022110
43333220200
5232001242
634235320
711620455
oct3775040
91865273
101047072
11655754
12425b40
132a8790
141d382c
1515a39c
hexffa20

1047072 has 48 divisors (see below), whose sum is σ = 2963520. Its totient is φ = 321792.

The previous prime is 1047061. The next prime is 1047077. The reversal of 1047072 is 2707401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1047077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 829 + ... + 1667.

It is an arithmetic number, because the mean of its divisors is an integer number (61740).

21047072 is an apocalyptic number.

1047072 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 1047072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481760).

1047072 is an abundant number, since it is smaller than the sum of its proper divisors (1916448).

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

1047072 is a wasteful number, since it uses less digits than its factorization.

1047072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 1047072 is about 1023.2653614777. The cubic root of 1047072 is about 101.5450712657.

The spelling of 1047072 in words is "one million, forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 839 1248 1678 2517 3356 5034 6712 10068 10907 13424 20136 21814 26848 32721 40272 43628 65442 80544 87256 130884 174512 261768 349024 523536 1047072