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13370 = 257191

13370 has 16 divisors (see below), whose sum is σ = 27648. Its totient is φ = 4560.

The previous prime is 13367. The next prime is 13381. The reversal of 13370 is 7331.

It can be divided in two parts, 13 and 370, that added together give a palindrome (383).

It is a happy number.

13370 is nontrivially palindromic in base 13.

13370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (1728).

213370 is an apocalyptic number.

13370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13370 is an abundant number, since it is smaller than the sum of its proper divisors (14278).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824).

13370 is a wasteful number, since it uses less digits than its factorization.

13370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 13370 is about 115.6287161565. The cubic root of 13370 is about 23.7343387053.

The spelling of 13370 in words is "thirteen thousand, three hundred seventy".

Divisors: 1 2 5 7 10 14 35 70 191 382 955 1337 1910 2674 6685 13370