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1023457689 = 32113717521
BaseRepresentation
bin111101000000001…
…011100110011001
32122022211001000100
4331000023212121
54044001121224
6245320130013
734235150442
oct7500134631
92568731010
101023457689
11485795a01
12246906909
13134061387
1499cd62c9
155ecb6ac9
hex3d00b999

1023457689 has 6 divisors (see below), whose sum is σ = 1478327786. Its totient is φ = 682305120.

The previous prime is 1023457679. The next prime is 1023457691. The reversal of 1023457689 is 9867543201.

1023457689 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 only one way, i.e., 943534089 + 79923600 = 30717^2 + 8940^2 .

It is not a de Polignac number, because 1023457689 - 28 = 1023457433 is a prime.

It is a Duffinian number.

1023457689 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1023457639) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56858752 + ... + 56858769.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1023457689 = 2046915378, but 3⋅1023457689 = 3070373067 is not.

Almost surely, 21023457689 is an apocalyptic number.

It is an amenable number.

1023457689 is a deficient number, since it is larger than the sum of its proper divisors (454870097).

1023457689 is a wasteful number, since it uses less digits than its factorization.

1023457689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113717527 (or 113717524 counting only the distinct ones).

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

The square root of 1023457689 is about 31991.5252684207. The cubic root of 1023457689 is about 1007.7588738482.

The spelling of 1023457689 in words is "one billion, twenty-three million, four hundred fifty-seven thousand, six hundred eighty-nine".

Divisors: 1 3 9 113717521 341152563 1023457689