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23081120 = 255181797
BaseRepresentation
bin101100000001…
…1000010100000
31121102122100022
41120003002200
521402043440
62142413012
7400120616
oct130030240
947378308
1023081120
1112035207
127891168
134a2198a
1430cb6b6
15205dcb5
hex16030a0

23081120 has 48 divisors (see below), whose sum is σ = 54899208. Its totient is φ = 9169920.

The previous prime is 23081101. The next prime is 23081131. The reversal of 23081120 is 2118032.

It can be written as a sum of positive squares in 4 ways, for example, as 10942864 + 12138256 = 3308^2 + 3484^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28562 + ... + 29358.

Almost surely, 223081120 is an apocalyptic number.

23081120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27449604).

23081120 is an abundant number, since it is smaller than the sum of its proper divisors (31818088).

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

23081120 is a wasteful number, since it uses less digits than its factorization.

23081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 23081120 is about 4804.2814238968. The cubic root of 23081120 is about 284.7206455259.

Adding to 23081120 its reverse (2118032), we get a palindrome (25199152).

The spelling of 23081120 in words is "twenty-three million, eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 362 724 797 905 1448 1594 1810 2896 3188 3620 3985 5792 6376 7240 7970 12752 14480 15940 25504 28960 31880 63760 127520 144257 288514 577028 721285 1154056 1442570 2308112 2885140 4616224 5770280 11540560 23081120