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13142160 = 2432518253
BaseRepresentation
bin110010001000…
…100010010000
3220201200122200
4302020202100
511331022120
61145403200
7216464223
oct62104220
926650580
1013142160
117466999
124499500
132951b35
141a615ba
151248e90
hexc88890

13142160 has 60 divisors (see below), whose sum is σ = 44138172. Its totient is φ = 3504384.

The previous prime is 13142149. The next prime is 13142161. The reversal of 13142160 is 6124131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1527696 + 11614464 = 1236^2 + 3408^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13142161) 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 11 ways as a sum of consecutive naturals, for example, 8407 + ... + 9846.

Almost surely, 213142160 is an apocalyptic number.

13142160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142160 is an abundant number, since it is smaller than the sum of its proper divisors (30996012).

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

13142160 is a wasteful number, since it uses less digits than its factorization.

13142160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18272 (or 18263 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13142160 is about 3625.2117179552. The cubic root of 13142160 is about 235.9874550451.

Adding to 13142160 its reverse (6124131), we get a palindrome (19266291).

The spelling of 13142160 in words is "thirteen million, one hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 18253 36506 54759 73012 91265 109518 146024 164277 182530 219036 273795 292048 328554 365060 438072 547590 657108 730120 821385 876144 1095180 1314216 1460240 1642770 2190360 2628432 3285540 4380720 6571080 13142160