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9023104 = 27157449
BaseRepresentation
bin100010011010…
…111010000000
3121222102101001
4202122322000
54302214404
6521221344
7136460266
oct42327200
917872331
109023104
115103212
123031854
131b3c01c
1412ac436
15bd37a4
hex89ae80

9023104 has 32 divisors (see below), whose sum is σ = 18130500. Its totient is φ = 4472832.

The previous prime is 9023101. The next prime is 9023111. The reversal of 9023104 is 4013209.

It can be written as a sum of positive squares in 2 ways, for example, as 9000000 + 23104 = 3000^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (9023101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19872 + ... + 20320.

Almost surely, 29023104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9065250).

9023104 is an abundant number, since it is smaller than the sum of its proper divisors (9107396).

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

9023104 is a wasteful number, since it uses less digits than its factorization.

9023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 9023104 is about 3003.8481985613. The cubic root of 9023104 is about 208.1862237554.

The spelling of 9023104 in words is "nine million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 157 314 449 628 898 1256 1796 2512 3592 5024 7184 10048 14368 20096 28736 57472 70493 140986 281972 563944 1127888 2255776 4511552 9023104