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23318680 = 23571167113
BaseRepresentation
bin101100011110…
…1000010011000
31121212201012211
41120331002120
521432144210
62151444504
7402130330
oct130750230
947781184
1023318680
1112187740
127986734
134aa5b48
1431500c0
1520a938a
hex163d098

23318680 has 128 divisors (see below), whose sum is σ = 66977280. Its totient is φ = 7096320.

The previous prime is 23318677. The next prime is 23318717. The reversal of 23318680 is 8681332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206304 + ... + 206416.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

Almost surely, 223318680 is an apocalyptic number.

23318680 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 23318680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33488640).

23318680 is an abundant number, since it is smaller than the sum of its proper divisors (43658600).

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

23318680 is a wasteful number, since it uses less digits than its factorization.

23318680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 23318680 is about 4828.9419130903. The cubic root of 23318680 is about 285.6941323880.

It can be divided in two parts, 2331 and 8680, that added together give a palindrome (11011).

The spelling of 23318680 in words is "twenty-three million, three hundred eighteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 67 70 77 88 110 113 134 140 154 220 226 268 280 308 335 385 440 452 469 536 565 616 670 737 770 791 904 938 1130 1243 1340 1474 1540 1582 1876 2260 2345 2486 2680 2948 3080 3164 3685 3752 3955 4520 4690 4972 5159 5896 6215 6328 7370 7571 7910 8701 9380 9944 10318 12430 14740 15142 15820 17402 18760 20636 24860 25795 29480 30284 31640 34804 37855 41272 43505 49720 51590 52997 60568 69608 75710 83281 87010 103180 105994 151420 166562 174020 206360 211988 264985 302840 333124 348040 416405 423976 529970 582967 666248 832810 1059940 1165934 1665620 2119880 2331868 2914835 3331240 4663736 5829670 11659340 23318680