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13142007 = 34891823
BaseRepresentation
bin110010001000…
…011111110111
3220201200110000
4302020133313
511331021012
61145402343
7216463614
oct62103767
926650400
1013142007
11746686a
1244993b3
132951a48
141a6150b
151248ddc
hexc887f7

13142007 has 20 divisors (see below), whose sum is σ = 19863360. Its totient is φ = 8658144.

The previous prime is 13141991. The next prime is 13142009. The reversal of 13142007 is 70024131.

It is not a de Polignac number, because 13142007 - 24 = 13141991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6298 + ... + 8120.

It is an arithmetic number, because the mean of its divisors is an integer number (993168).

Almost surely, 213142007 is an apocalyptic number.

13142007 is a deficient number, since it is larger than the sum of its proper divisors (6721353).

13142007 is an equidigital number, since it uses as much as digits as its factorization.

13142007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13142007 is about 3625.1906156780. The cubic root of 13142007 is about 235.9865392591.

Adding to 13142007 its reverse (70024131), we get a palindrome (83166138).

It can be divided in two parts, 1314 and 2007, that added together give a triangular number (3321 = T81).

The spelling of 13142007 in words is "thirteen million, one hundred forty-two thousand, seven".

Divisors: 1 3 9 27 81 89 267 801 1823 2403 5469 7209 16407 49221 147663 162247 486741 1460223 4380669 13142007