13007274 has 32 divisors (see below), whose sum is σ = 30224256. Its totient is φ = 3654720.

The previous prime is 13007273. The next prime is 13007303. The reversal of 13007274 is 47270031.

It is a super-2 number, since 2×13007274² = 338378353822152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13007273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24 + ... + 5100.

It is an arithmetic number, because the mean of its divisors is an integer number (944508).

Almost surely, 2^13007274 is an apocalyptic number.

13007274 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 13007274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15112128).

13007274 is an abundant number, since it is smaller than the sum of its proper divisors (17216982).

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

13007274 is a wasteful number, since it uses less digits than its factorization.

13007274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 13007274 is about 3606.5598567056. The cubic root of 13007274 is about 235.1773160015.

The spelling of 13007274 in words is "thirteen million, seven thousand, two hundred seventy-four".