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13885744 = 242397389
BaseRepresentation
bin110100111110…
…000100110000
3222010110122211
4310332010300
512023320434
61213341504
7226012135
oct64760460
928113584
1013885744
117924624
124797894
132b52422
141bb658c
151344464
hexd3e130

13885744 has 40 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 6555648.

The previous prime is 13885723. The next prime is 13885747. The reversal of 13885744 is 44758831.

It is a junction number, because it is equal to n+sod(n) for n = 13885697 and 13885706.

It is not an unprimeable number, because it can be changed into a prime (13885747) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35502 + ... + 35890.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 213885744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13885744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

13885744 is an abundant number, since it is smaller than the sum of its proper divisors (14549936).

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

13885744 is a wasteful number, since it uses less digits than its factorization.

13885744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The square root of 13885744 is about 3726.3580074920. The cubic root of 13885744 is about 240.3567841564.

The spelling of 13885744 in words is "thirteen million, eight hundred eighty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 97 184 194 368 388 389 776 778 1552 1556 2231 3112 4462 6224 8924 8947 17848 17894 35696 35788 37733 71576 75466 143152 150932 301864 603728 867859 1735718 3471436 6942872 13885744