13738890 has 128 divisors (see below), whose sum is σ = 39813120. Its totient is φ = 2995200.

The previous prime is 13738883. The next prime is 13738891. The reversal of 13738890 is 9883731.

13738890 = 30² + 31² + ... + 345².

It is a super-3 number, since 3×13738890³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13738891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173871 + ... + 173949.

It is an arithmetic number, because the mean of its divisors is an integer number (311040).

Almost surely, 2^13738890 is an apocalyptic number.

13738890 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 13738890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906560).

13738890 is an abundant number, since it is smaller than the sum of its proper divisors (26074230).

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

13738890 is a wasteful number, since it uses less digits than its factorization.

13738890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 13738890 is about 3706.6008687206. The cubic root of 13738890 is about 239.5064510127.

The spelling of 13738890 in words is "thirteen million, seven hundred thirty-eight thousand, eight hundred ninety".