13742010 has 48 divisors (see below), whose sum is σ = 36088416. Its totient is φ = 3627744.

The previous prime is 13741963. The next prime is 13742033. The reversal of 13742010 is 1024731.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8917 + ... + 10343.

It is an arithmetic number, because the mean of its divisors is an integer number (751842).

Almost surely, 2^13742010 is an apocalyptic number.

13742010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13742010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18044208).

13742010 is an abundant number, since it is smaller than the sum of its proper divisors (22346406).

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

13742010 is a wasteful number, since it uses less digits than its factorization.

13742010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13742010 is about 3707.0217156094. The cubic root of 13742010 is about 239.5245796865.

Adding to 13742010 its reverse (1024731), we get a palindrome (14766741).

The spelling of 13742010 in words is "thirteen million, seven hundred forty-two thousand, ten".