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13882638 = 23711151199
BaseRepresentation
bin110100111101…
…010100001110
3222010022101210
4310331110032
512023221023
61213315250
7226000110
oct64752416
928108353
1013882638
117922260
124795b26
132b50ba3
141bb53b0
151343593
hexd3d50e

13882638 has 64 divisors (see below), whose sum is σ = 35020800. Its totient is φ = 3564000.

The previous prime is 13882613. The next prime is 13882643. The reversal of 13882638 is 83628831.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13882596 and 13882605.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 69663 + ... + 69861.

It is an arithmetic number, because the mean of its divisors is an integer number (547200).

Almost surely, 213882638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13882638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510400).

13882638 is an abundant number, since it is smaller than the sum of its proper divisors (21138162).

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

13882638 is a wasteful number, since it uses less digits than its factorization.

13882638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373.

The product of its digits is 55296, while the sum is 39.

The square root of 13882638 is about 3725.9412233689. The cubic root of 13882638 is about 240.3388616060.

The spelling of 13882638 in words is "thirteen million, eight hundred eighty-two thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 151 154 199 231 302 398 453 462 597 906 1057 1194 1393 1661 2114 2189 2786 3171 3322 4179 4378 4983 6342 6567 8358 9966 11627 13134 15323 23254 30049 30646 34881 45969 60098 69762 90147 91938 180294 210343 330539 420686 631029 661078 991617 1262058 1983234 2313773 4627546 6941319 13882638