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13320192 = 2143271
BaseRepresentation
bin110010110100…
…000000000000
3221001201212110
4302310000000
511402221232
61153255320
7221135244
oct62640000
927051773
1013320192
117578726
124564540
1329b4b92
141aaa424
151281acc
hexcb4000

13320192 has 60 divisors (see below), whose sum is σ = 35650496. Its totient is φ = 4423680.

The previous prime is 13320191. The next prime is 13320217. The reversal of 13320192 is 29102331.

It is a happy number.

13320192 is nontrivially palindromic in base 13.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49017 + ... + 49287.

Almost surely, 213320192 is an apocalyptic number.

13320192 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 13320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17825248).

13320192 is an abundant number, since it is smaller than the sum of its proper divisors (22330304).

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

13320192 is an frugal number, since it uses more digits than its factorization.

13320192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 13320192 is about 3649.6838219221. The cubic root of 13320192 is about 237.0482908237.

The spelling of 13320192 in words is "thirteen million, three hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 512 542 768 813 1024 1084 1536 1626 2048 2168 3072 3252 4096 4336 6144 6504 8192 8672 12288 13008 16384 17344 24576 26016 34688 49152 52032 69376 104064 138752 208128 277504 416256 555008 832512 1110016 1665024 2220032 3330048 4440064 6660096 13320192