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13243032 = 23321123727
BaseRepresentation
bin110010100001…
…001010011000
3220220211000200
4302201022120
511342234112
61151502200
7220364265
oct62411230
926824020
1013243032
117525760
124527960
132988a1a
141a8a26c
151268cdc
hexca1298

13243032 has 96 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 3833280.

The previous prime is 13243031. The next prime is 13243033. The reversal of 13243032 is 23034231.

It is an interprime number because it is at equal distance from previous prime (13243031) and next prime (13243033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13242996 and 13243014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13243031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17853 + ... + 18579.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 213243032 is an apocalyptic number.

13243032 is a gapful number since it is divisible by the number (12) 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 13243032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

13243032 is an abundant number, since it is smaller than the sum of its proper divisors (27641448).

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

13243032 is a wasteful number, since it uses less digits than its factorization.

13243032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13243032 is about 3639.0976903623. The cubic root of 13243032 is about 236.5896868816.

Adding to 13243032 its reverse (23034231), we get a palindrome (36277263).

It can be divided in two parts, 1324 and 3032, that added together give a square (4356 = 662).

The spelling of 13243032 in words is "thirteen million, two hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 727 759 792 828 1012 1454 1518 1656 2024 2181 2277 2908 3036 4362 4554 5816 6072 6543 7997 8724 9108 13086 15994 16721 17448 18216 23991 26172 31988 33442 47982 50163 52344 63976 66884 71973 95964 100326 133768 143946 150489 183931 191928 200652 287892 300978 367862 401304 551793 575784 601956 735724 1103586 1203912 1471448 1655379 2207172 3310758 4414344 6621516 13243032