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10374 = 2371319

10374 has 32 divisors (see below), whose sum is σ = 26880. Its totient is φ = 2592.

The previous prime is 10369. The next prime is 10391. The reversal of 10374 is 47301.

Adding to 10374 its reverse (47301), we get a palindrome (57675).

10374 = T12 + T13 + ... + T39.

10374 = 222 + 232 + ... + 342.

10374 is nontrivially palindromic in base 12.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

10374 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

210374 is an apocalyptic number.

10374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440).

10374 is an abundant number, since it is smaller than the sum of its proper divisors (16506).

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

10374 is a wasteful number, since it uses less digits than its factorization.

10374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 10374 is about 101.8528350121. The cubic root of 10374 is about 21.8096526005.

The spelling of 10374 in words is "ten thousand, three hundred seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 1482 1729 3458 5187 10374