Search a number
-
+
13043088 = 2432531709
BaseRepresentation
bin110001110000…
…010110010000
3220112122202100
4301300112100
511314334323
61143320400
7215602332
oct61602620
926478670
1013043088
1173a9513
124450100
132918a06
141a37452
151229943
hexc70590

13043088 has 60 divisors (see below), whose sum is σ = 37213020. Its totient is φ = 4263168.

The previous prime is 13043087. The next prime is 13043117. The reversal of 13043088 is 88034031.

It can be written as a sum of positive squares in 2 ways, for example, as 5817744 + 7225344 = 2412^2 + 2688^2 .

It is not an unprimeable number, because it can be changed into a prime (13043087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6778 + ... + 8486.

It is an arithmetic number, because the mean of its divisors is an integer number (620217).

Almost surely, 213043088 is an apocalyptic number.

13043088 is a gapful number since it is divisible by the number (18) 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 13043088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18606510).

13043088 is an abundant number, since it is smaller than the sum of its proper divisors (24169932).

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

13043088 is a wasteful number, since it uses less digits than its factorization.

13043088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13043088 is about 3611.5215629981. The cubic root of 13043088 is about 235.3929625684.

The spelling of 13043088 in words is "thirteen million, forty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1709 1908 2544 3418 3816 5127 6836 7632 10254 13672 15381 20508 27344 30762 41016 61524 82032 90577 123048 181154 246096 271731 362308 543462 724616 815193 1086924 1449232 1630386 2173848 3260772 4347696 6521544 13043088