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1312160 = 25559139
BaseRepresentation
bin101000000010110100000
32110122221112
411000112200
5313442120
644042452
714103353
oct5002640
92418845
101312160
11816933
12533428
1336c335
1426229a
151adbc5
hex1405a0

1312160 has 48 divisors (see below), whose sum is σ = 3175200. Its totient is φ = 512256.

The previous prime is 1312153. The next prime is 1312169. The reversal of 1312160 is 612131.

1312160 = T115 + T116 + ... + T210.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (1312169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9371 + ... + 9509.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

21312160 is an apocalyptic number.

1312160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587600).

1312160 is an abundant number, since it is smaller than the sum of its proper divisors (1863040).

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

1312160 is a wasteful number, since it uses less digits than its factorization.

1312160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1312160 is about 1145.4955259625. The cubic root of 1312160 is about 109.4785234807.

Adding to 1312160 its reverse (612131), we get a palindrome (1924291).

The spelling of 1312160 in words is "one million, three hundred twelve thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 139 160 236 278 295 472 556 590 695 944 1112 1180 1390 1888 2224 2360 2780 4448 4720 5560 8201 9440 11120 16402 22240 32804 41005 65608 82010 131216 164020 262432 328040 656080 1312160