13751840 has 48 divisors (see below), whose sum is σ = 33044760. Its totient is φ = 5406720.

The previous prime is 13751797. The next prime is 13751863. The reversal of 13751840 is 4815731.

It can be written as a sum of positive squares in 4 ways, for example, as 2808976 + 10942864 = 1676^2 + 3308^2 .

It is a super-2 number, since 2×13751840² = 378226206771200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9056 + ... + 10464.

Almost surely, 2^13751840 is an apocalyptic number.

13751840 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 13751840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522380).

13751840 is an abundant number, since it is smaller than the sum of its proper divisors (19292920).

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

13751840 is a wasteful number, since it uses less digits than its factorization.

13751840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 13751840 is about 3708.3473407975. The cubic root of 13751840 is about 239.5816786947.

The spelling of 13751840 in words is "thirteen million, seven hundred fifty-one thousand, eight hundred forty".