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13144064 = 2123209
BaseRepresentation
bin110010001001…
…000000000000
3220201210021012
4302021000000
511331102224
61145420052
7216502613
oct62110000
926653235
1013144064
11746836a
12449a628
13295296b
141a6217a
15124980e
hexc89000

13144064 has 26 divisors (see below), whose sum is σ = 26293110. Its totient is φ = 6569984.

The previous prime is 13144057. The next prime is 13144073. The reversal of 13144064 is 46044131.

It can be written as a sum of positive squares in only one way, i.e., 11505664 + 1638400 = 3392^2 + 1280^2 .

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2492 + ... + 5700.

Almost surely, 213144064 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 13144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146555).

13144064 is an abundant number, since it is smaller than the sum of its proper divisors (13149046).

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

13144064 is an frugal number, since it uses more digits than its factorization.

13144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 13144064 is about 3625.4743137967. The cubic root of 13144064 is about 235.9988508993.

Adding to 13144064 its reverse (46044131), we get a palindrome (59188195).

The spelling of 13144064 in words is "thirteen million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3209 4096 6418 12836 25672 51344 102688 205376 410752 821504 1643008 3286016 6572032 13144064