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13863136 = 257199311
BaseRepresentation
bin110100111000…
…100011100000
3222002022122111
4310320203200
512022110021
61213045104
7225556210
oct64704340
928068574
1013863136
117909641
124786794
132b45051
141bac240
15133c8e1
hexd388e0

13863136 has 48 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 5892480.

The previous prime is 13863121. The next prime is 13863139. The reversal of 13863136 is 63136831.

It is a junction number, because it is equal to n+sod(n) for n = 13863098 and 13863107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13863139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44421 + ... + 44731.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 213863136 is an apocalyptic number.

13863136 is a gapful number since it is divisible by the number (16) 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 13863136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

13863136 is an abundant number, since it is smaller than the sum of its proper divisors (17586464).

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

13863136 is a wasteful number, since it uses less digits than its factorization.

13863136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 13863136 is about 3723.3232467783. The cubic root of 13863136 is about 240.2262680926.

Adding to 13863136 its reverse (63136831), we get a palindrome (76999967).

The spelling of 13863136 in words is "thirteen million, eight hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 199 224 311 398 622 796 1244 1393 1592 2177 2488 2786 3184 4354 4976 5572 6368 8708 9952 11144 17416 22288 34832 44576 61889 69664 123778 247556 433223 495112 866446 990224 1732892 1980448 3465784 6931568 13863136