Search a number
-
+
13844072 = 2311612579
BaseRepresentation
bin110100110011…
…111001101000
3222001100111102
4310303321220
512021002242
61212420532
7225446504
oct64637150
928040442
1013844072
1178a6290
124777748
132b39478
141ba5304
151336e32
hexd33e68

13844072 has 32 divisors (see below), whose sum is σ = 28792800. Its totient is φ = 6187200.

The previous prime is 13844059. The next prime is 13844081. The reversal of 13844072 is 27044831.

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 7 ways as a sum of consecutive naturals, for example, 4079 + ... + 6657.

It is an arithmetic number, because the mean of its divisors is an integer number (899775).

Almost surely, 213844072 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 13844072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396400).

13844072 is an abundant number, since it is smaller than the sum of its proper divisors (14948728).

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

13844072 is a wasteful number, since it uses less digits than its factorization.

13844072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 13844072 is about 3720.7622874889. The cubic root of 13844072 is about 240.1161012338.

The spelling of 13844072 in words is "thirteen million, eight hundred forty-four thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 488 671 1342 2579 2684 5158 5368 10316 20632 28369 56738 113476 157319 226952 314638 629276 1258552 1730509 3461018 6922036 13844072