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1072843965 = 32523840977
BaseRepresentation
bin111111111100100…
…100110010111101
32202202202010020200
4333330210302331
54144122001330
6254242434113
735405010654
oct7774446275
92682663220
101072843965
11500657606
1225b362939
1314136331b
14a26b019b
15642bea60
hex3ff24cbd

1072843965 has 12 divisors (see below), whose sum is σ = 1859596284. Its totient is φ = 572183424.

The previous prime is 1072843963. The next prime is 1072843969. The reversal of 1072843965 is 5693482701.

1072843965 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 441126009 + 631717956 = 21003^2 + 25134^2 .

It is not a de Polignac number, because 1072843965 - 21 = 1072843963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 23840977 = 1072843965 / (1 + 0 + 7 + 2 + 8 + 4 + 3 + 9 + 6 + 5).

1072843965 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1072843965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072843963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11920444 + ... + 11920533.

It is an arithmetic number, because the mean of its divisors is an integer number (154966357).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1072843965 = 2145687930, but 3⋅1072843965 = 3218531895 is not.

Almost surely, 21072843965 is an apocalyptic number.

1072843965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1072843965 is a deficient number, since it is larger than the sum of its proper divisors (786752319).

1072843965 is a wasteful number, since it uses less digits than its factorization.

1072843965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23840988 (or 23840985 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1072843965 is about 32754.2968936901. The cubic root of 1072843965 is about 1023.7144987175.

The spelling of 1072843965 in words is "one billion, seventy-two million, eight hundred forty-three thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 23840977 71522931 119204885 214568793 357614655 1072843965