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13329712 = 2411531429
BaseRepresentation
bin110010110110…
…010100110000
3221002012221001
4302312110300
511403022322
61153411344
7221205064
oct62662460
927065831
1013329712
1175848a0
124569b54
1329b9306
141aadaa4
151284827
hexcb6530

13329712 has 40 divisors (see below), whose sum is σ = 28725840. Its totient is φ = 5940480.

The previous prime is 13329709. The next prime is 13329713. The reversal of 13329712 is 21792331.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13329713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8614 + ... + 10042.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 213329712 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 13329712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362920).

13329712 is an abundant number, since it is smaller than the sum of its proper divisors (15396128).

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

13329712 is a wasteful number, since it uses less digits than its factorization.

13329712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1495 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 13329712 is about 3650.9878115381. The cubic root of 13329712 is about 237.1047505283.

It can be divided in two parts, 13329 and 712, that added together give a palindrome (14041).

The spelling of 13329712 in words is "thirteen million, three hundred twenty-nine thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 1429 2332 2858 4664 5716 9328 11432 15719 22864 31438 62876 75737 125752 151474 251504 302948 605896 833107 1211792 1666214 3332428 6664856 13329712