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13142320 = 245164279
BaseRepresentation
bin110010001000…
…100100110000
3220201200212121
4302020210300
511331023240
61145404024
7216464542
oct62104460
926650777
1013142320
117467024
124499614
132951c29
141a61692
15124904a
hexc88930

13142320 has 20 divisors (see below), whose sum is σ = 30556080. Its totient is φ = 5256896.

The previous prime is 13142299. The next prime is 13142321. The reversal of 13142320 is 2324131.

Adding to 13142320 its reverse (2324131), we get a palindrome (15466451).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13142294 and 13142303.

It is not an unprimeable number, because it can be changed into a prime (13142321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82060 + ... + 82219.

It is an arithmetic number, because the mean of its divisors is an integer number (1527804).

Almost surely, 213142320 is an apocalyptic number.

13142320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142320 is an abundant number, since it is smaller than the sum of its proper divisors (17413760).

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

13142320 is a wasteful number, since it uses less digits than its factorization.

13142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164292 (or 164286 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13142320 is about 3625.2337855647. The cubic root of 13142320 is about 235.9884127223.

The spelling of 13142320 in words is "thirteen million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 164279 328558 657116 821395 1314232 1642790 2628464 3285580 6571160 13142320