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23239872 = 26344483
BaseRepresentation
bin101100010100…
…1110011000000
31121201201010000
41120221303000
521422133442
62150040000
7401351505
oct130516300
947651100
1023239872
1112133507
127949000
134a79006
14312d4ac
152090d4c
hex1629cc0

23239872 has 70 divisors (see below), whose sum is σ = 68905628. Its totient is φ = 7744896.

The previous prime is 23239861. The next prime is 23239873. The reversal of 23239872 is 27893232.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23239873) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2943 + ... + 7425.

Almost surely, 223239872 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 23239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34452814).

23239872 is an abundant number, since it is smaller than the sum of its proper divisors (45665756).

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

23239872 is an equidigital number, since it uses as much as digits as its factorization.

23239872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507 (or 4488 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 23239872 is about 4820.7750414223. The cubic root of 23239872 is about 285.3719244006.

It can be divided in two parts, 232 and 39872, that added together give a palindrome (40104).

The spelling of 23239872 in words is "twenty-three million, two hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 4483 5184 8966 13449 17932 26898 35864 40347 53796 71728 80694 107592 121041 143456 161388 215184 242082 286912 322776 363123 430368 484164 645552 726246 860736 968328 1291104 1452492 1936656 2582208 2904984 3873312 5809968 7746624 11619936 23239872