13739040 has 288 divisors, whose sum is σ = 56609280. Its totient is φ = 2967552.

The previous prime is 13739039. The next prime is 13739041. The reversal of 13739040 is 4093731.

13739040 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (13739039) and next prime (13739041).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13739040² = 377522440243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13738995 and 13739013.

It is not an unprimeable number, because it can be changed into a prime (13739041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292297 + ... + 292343.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^13739040 is an apocalyptic number.

13739040 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 13739040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

13739040 is an abundant number, since it is smaller than the sum of its proper divisors (42870240).

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

13739040 is a wasteful number, since it uses less digits than its factorization.

13739040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13739040 is about 3706.6211028375. The cubic root of 13739040 is about 239.5073226463.

The spelling of 13739040 in words is "thirteen million, seven hundred thirty-nine thousand, forty".