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23027616 = 2532372161
BaseRepresentation
bin101011111010…
…1111110100000
31121022220221200
41113311332200
521343340431
62141321200
7366505623
oct127657640
947286850
1023027616
1111aa8a97
127866200
134a03511
1430b5dba
15204cee6
hex15f5fa0

23027616 has 72 divisors (see below), whose sum is σ = 67285764. Its totient is φ = 7464960.

The previous prime is 23027597. The next prime is 23027617. The reversal of 23027616 is 61672032.

It is a happy number.

23027616 is a `hidden beast` number, since 23 + 0 + 27 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21123216 + 1904400 = 4596^2 + 1380^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 23027616.

It is not an unprimeable number, because it can be changed into a prime (23027617) 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, 9576 + ... + 11736.

Almost surely, 223027616 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 23027616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33642882).

23027616 is an abundant number, since it is smaller than the sum of its proper divisors (44258148).

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

23027616 is a wasteful number, since it uses less digits than its factorization.

23027616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 23027616 is about 4798.7098266096. The cubic root of 23027616 is about 284.5004730848.

Adding to 23027616 its reverse (61672032), we get a palindrome (84699648).

The spelling of 23027616 in words is "twenty-three million, twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2161 2664 3552 4322 5328 6483 8644 10656 12966 17288 19449 25932 34576 38898 51864 69152 77796 79957 103728 155592 159914 207456 239871 311184 319828 479742 622368 639656 719613 959484 1279312 1439226 1918968 2558624 2878452 3837936 5756904 7675872 11513808 23027616