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23318120 = 2357211897
BaseRepresentation
bin101100011110…
…0111001101000
31121212200110002
41120330321220
521432134440
62151442132
7402125600
oct130747150
947780402
1023318120
1112187281
127986348
134aa5807
14314dc00
1520a9115
hex163ce68

23318120 has 48 divisors (see below), whose sum is σ = 61036740. Its totient is φ = 7994112.

The previous prime is 23318093. The next prime is 23318129. The reversal of 23318120 is 2181332.

It can be written as a sum of positive squares in 2 ways, for example, as 21473956 + 1844164 = 4634^2 + 1358^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23318092 and 23318101.

It is not an unprimeable number, because it can be changed into a prime (23318129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3989 + ... + 7908.

Almost surely, 223318120 is an apocalyptic number.

23318120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23318120 is an abundant number, since it is smaller than the sum of its proper divisors (37718620).

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

23318120 is a wasteful number, since it uses less digits than its factorization.

23318120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11922 (or 11911 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 23318120 is about 4828.8839290254. The cubic root of 23318120 is about 285.6918453804.

Adding to 23318120 its reverse (2181332), we get a palindrome (25499452).

The spelling of 23318120 in words is "twenty-three million, three hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 11897 23794 47588 59485 83279 95176 118970 166558 237940 333116 416395 475880 582953 666232 832790 1165906 1665580 2331812 2914765 3331160 4663624 5829530 11659060 23318120