Search a number
-
+
13664224 = 25761001
BaseRepresentation
bin110100000111…
…111111100000
3221201012210101
4310013333200
511444223344
61204512144
7224100250
oct64077740
927635711
1013664224
117793152
1246ab654
132aa5652
141b59960
1512ed9d4
hexd07fe0

13664224 has 24 divisors (see below), whose sum is σ = 30745008. Its totient is φ = 5856000.

The previous prime is 13664219. The next prime is 13664227. The reversal of 13664224 is 42246631.

It is a super-2 number, since 2×136642242 = 373422035044352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 13664192 and 13664201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13664227) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 30277 + ... + 30724.

It is an arithmetic number, because the mean of its divisors is an integer number (1281042).

Almost surely, 213664224 is an apocalyptic number.

13664224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13664224 is an abundant number, since it is smaller than the sum of its proper divisors (17080784).

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

13664224 is an equidigital number, since it uses as much as digits as its factorization.

13664224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61018 (or 61010 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 13664224 is about 3696.5151156190. The cubic root of 13664224 is about 239.0717850695.

The spelling of 13664224 in words is "thirteen million, six hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 61001 122002 244004 427007 488008 854014 976016 1708028 1952032 3416056 6832112 13664224