Search a number
-
+
1073027268 = 223229806313
BaseRepresentation
bin111111111101010…
…001100011000100
32202210002102200200
4333331101203010
54144143333033
6254250410500
735406403245
oct7775214304
92683072620
101073027268
115007722a5
1225b430a30
131413c88a1
14a271accc
1564309013
hex3ff518c4

1073027268 has 18 divisors (see below), whose sum is σ = 2712374574. Its totient is φ = 357675744.

The previous prime is 1073027251. The next prime is 1073027287. The reversal of 1073027268 is 8627203701.

It can be written as a sum of positive squares in only one way, i.e., 983951424 + 89075844 = 31368^2 + 9438^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 29806313 = 1073027268 / (1 + 0 + 7 + 3 + 0 + 2 + 7 + 2 + 6 + 8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14903121 + ... + 14903192.

Almost surely, 21073027268 is an apocalyptic number.

1073027268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1073027268 is an abundant number, since it is smaller than the sum of its proper divisors (1639347306).

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

1073027268 is a wasteful number, since it uses less digits than its factorization.

1073027268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29806323 (or 29806318 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1073027268 is about 32757.0949261378. The cubic root of 1073027268 is about 1023.7727983581.

The spelling of 1073027268 in words is "one billion, seventy-three million, twenty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 29806313 59612626 89418939 119225252 178837878 268256817 357675756 536513634 1073027268