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13140768 = 253136883
BaseRepresentation
bin110010001000…
…001100100000
3220201121202010
4302020030200
511331001033
61145352520
7216460164
oct62101440
926647663
1013140768
117465943
124498740
132951304
141a60ca4
151248863
hexc88320

13140768 has 24 divisors (see below), whose sum is σ = 34494768. Its totient is φ = 4380224.

The previous prime is 13140749. The next prime is 13140769. The reversal of 13140768 is 86704131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13140769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68346 + ... + 68537.

It is an arithmetic number, because the mean of its divisors is an integer number (1437282).

Almost surely, 213140768 is an apocalyptic number.

It is an amenable number.

13140768 is an abundant number, since it is smaller than the sum of its proper divisors (21354000).

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

13140768 is a wasteful number, since it uses less digits than its factorization.

13140768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136896 (or 136888 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13140768 is about 3625.0197240843. The cubic root of 13140768 is about 235.9791229258.

Adding to 13140768 its reverse (86704131), we get a palindrome (99844899).

The spelling of 13140768 in words is "thirteen million, one hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 136883 273766 410649 547532 821298 1095064 1642596 2190128 3285192 4380256 6570384 13140768