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13140992 = 21041313
BaseRepresentation
bin110010001000…
…010000000000
3220201122001102
4302020100000
511331002432
61145353532
7216460634
oct62102000
926648042
1013140992
117466027
1244988a8
132951447
141a60dc4
151248962
hexc88400

13140992 has 44 divisors (see below), whose sum is σ = 26995836. Its totient is φ = 6389760.

The previous prime is 13140977. The next prime is 13140997. The reversal of 13140992 is 29904131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 295936 + 12845056 = 544^2 + 3584^2 .

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 (13140997) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 41828 + ... + 42140.

Almost surely, 213140992 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 13140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13497918).

13140992 is an abundant number, since it is smaller than the sum of its proper divisors (13854844).

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

13140992 is an equidigital number, since it uses as much as digits as its factorization.

13140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 13140992 is about 3625.0506203362. The cubic root of 13140992 is about 235.9804637663.

The spelling of 13140992 in words is "thirteen million, one hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 313 328 512 626 656 1024 1252 1312 2504 2624 5008 5248 10016 10496 12833 20032 20992 25666 40064 41984 51332 80128 102664 160256 205328 320512 410656 821312 1642624 3285248 6570496 13140992