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1073968425 = 325211934001
BaseRepresentation
bin100000000000011…
…0111010100101001
32202211212020201100
41000000313110221
54144413442200
6254322512013
735420403165
oct10000672451
92684766640
101073968425
11501255412
1225b805609
1314166809a
14a28c3ca5
1564442d00
hex40037529

1073968425 has 36 divisors (see below), whose sum is σ = 1925690364. Its totient is φ = 572160000.

The previous prime is 1073968409. The next prime is 1073968439. The reversal of 1073968425 is 5248693701.

1073968425 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 6 ways, for example, as 184199184 + 889769241 = 13572^2 + 29829^2 .

It is not a de Polignac number, because 1073968425 - 24 = 1073968409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

1073968425 is strictly pandigital in base 10.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 266425 + ... + 270425.

It is an arithmetic number, because the mean of its divisors is an integer number (53491399).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1073968425 = 2147936850, but 3⋅1073968425 = 3221905275 is not.

Almost surely, 21073968425 is an apocalyptic number.

1073968425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1073968425 is a deficient number, since it is larger than the sum of its proper divisors (851721939).

1073968425 is a wasteful number, since it uses less digits than its factorization.

1073968425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5202 counting only the distinct ones).

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

The square root of 1073968425 is about 32771.4574744548. The cubic root of 1073968425 is about 1024.0720294512.

The spelling of 1073968425 in words is "one billion, seventy-three million, nine hundred sixty-eight thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1193 3579 4001 5965 10737 12003 17895 20005 29825 36009 53685 60015 89475 100025 180045 268425 300075 900225 4773193 14319579 23865965 42958737 71597895 119329825 214793685 357989475 1073968425