[go: up one dir, main page]

Search a number
-
+
13144512 = 263223307
BaseRepresentation
bin110010001001…
…000111000000
3220201210212210
4302021013000
511331111022
61145422120
7216504123
oct62110700
926653783
1013144512
117468737
12449a940
132952c24
141a623ba
151249a0c
hexc891c0

13144512 has 56 divisors (see below), whose sum is σ = 35047936. Its totient is φ = 4347648.

The previous prime is 13144489. The next prime is 13144513. The reversal of 13144512 is 21544131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42663 + ... + 42969.

It is an arithmetic number, because the mean of its divisors is an integer number (625856).

Almost surely, 213144512 is an apocalyptic number.

13144512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17523968).

13144512 is an abundant number, since it is smaller than the sum of its proper divisors (21903424).

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

13144512 is a wasteful number, since it uses less digits than its factorization.

13144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 535 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 13144512 is about 3625.5360982895. The cubic root of 13144512 is about 236.0015321168.

Adding to 13144512 its reverse (21544131), we get a palindrome (34688643).

The spelling of 13144512 in words is "thirteen million, one hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 223 307 446 614 669 892 921 1228 1338 1784 1842 2456 2676 3568 3684 4912 5352 7136 7368 9824 10704 14272 14736 19648 21408 29472 42816 58944 68461 136922 205383 273844 410766 547688 821532 1095376 1643064 2190752 3286128 4381504 6572256 13144512