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13142112 = 253136897
BaseRepresentation
bin110010001000…
…100001100000
3220201200120220
4302020201200
511331021422
61145403040
7216464124
oct62104140
926650526
1013142112
117466955
124499480
132951ac9
141a61584
151248e5c
hexc88860

13142112 has 24 divisors (see below), whose sum is σ = 34498296. Its totient is φ = 4380672.

The previous prime is 13142111. The next prime is 13142119. The reversal of 13142112 is 21124131.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13142091 and 13142100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142111) 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, 68353 + ... + 68544.

It is an arithmetic number, because the mean of its divisors is an integer number (1437429).

Almost surely, 213142112 is an apocalyptic number.

13142112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13142112 is an abundant number, since it is smaller than the sum of its proper divisors (21356184).

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

13142112 is a wasteful number, since it uses less digits than its factorization.

13142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136910 (or 136902 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 13142112 is about 3625.2050976462. The cubic root of 13142112 is about 235.9871677405.

Adding to 13142112 its reverse (21124131), we get a palindrome (34266243).

The spelling of 13142112 in words is "thirteen million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 136897 273794 410691 547588 821382 1095176 1642764 2190352 3285528 4380704 6571056 13142112