13357740 has 96 divisors (see below), whose sum is σ = 41981184. Its totient is φ = 3144960.

The previous prime is 13357739. The next prime is 13357753. The reversal of 13357740 is 4775331.

It is a super-3 number, since 3×13357740³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13357698 and 13357707.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24147 + ... + 24693.

It is an arithmetic number, because the mean of its divisors is an integer number (437304).

Almost surely, 2^13357740 is an apocalyptic number.

13357740 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 13357740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20990592).

13357740 is an abundant number, since it is smaller than the sum of its proper divisors (28623444).

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

13357740 is a wasteful number, since it uses less digits than its factorization.

13357740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 13357740 is about 3654.8242091789. The cubic root of 13357740 is about 237.2708186215.

It can be divided in two parts, 13 and 357740, that added together give a palindrome (357753).

The spelling of 13357740 in words is "thirteen million, three hundred fifty-seven thousand, seven hundred forty".