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1073829465 = 32523862877
BaseRepresentation
bin100000000000001…
…0101011001011001
32202211121012002200
41000000111121121
54144400020330
6254315520413
735416254102
oct10000253131
92684535080
101073829465
1150116aa75
1225b759109
13141619a67
14a28893a9
1564416a60
hex40015659

1073829465 has 12 divisors (see below), whose sum is σ = 1861304484. Its totient is φ = 572709024.

The previous prime is 1073829461. The next prime is 1073829469. The reversal of 1073829465 is 5649283701.

1073829465 is a `hidden beast` number, since 107 + 3 + 82 + 9 + 465 = 666.

1073829465 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1073829461) and next prime (1073829469).

It can be written as a sum of positive squares in 2 ways, for example, as 189778176 + 884051289 = 13776^2 + 29733^2 .

It is not a de Polignac number, because 1073829465 - 22 = 1073829461 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: 23862877 = 1073829465 / (1 + 0 + 7 + 3 + 8 + 2 + 9 + 4 + 6 + 5).

1073829465 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 1073829465.

It is not an unprimeable number, because it can be changed into a prime (1073829461) 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, 11931394 + ... + 11931483.

It is an arithmetic number, because the mean of its divisors is an integer number (155108707).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1073829465 = 2147658930, but 3⋅1073829465 = 3221488395 is not.

Almost surely, 21073829465 is an apocalyptic number.

1073829465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1073829465 is a deficient number, since it is larger than the sum of its proper divisors (787475019).

1073829465 is a wasteful number, since it uses less digits than its factorization.

1073829465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23862888 (or 23862885 counting only the distinct ones).

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

The square root of 1073829465 is about 32769.3372682451. The cubic root of 1073829465 is about 1024.0278595656.

The spelling of 1073829465 in words is "one billion, seventy-three million, eight hundred twenty-nine thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 23862877 71588631 119314385 214765893 357943155 1073829465