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13440000 = 2103547
BaseRepresentation
bin110011010001…
…010000000000
3221021211012210
4303101100000
511420040000
61200022120
7222144450
oct63212000
927254183
1013440000
11764a742
124601940
132a27582
141adbd60
1512a7350
hexcd1400

13440000 has 220 divisors, whose sum is σ = 51158624. Its totient is φ = 3072000.

The previous prime is 13439939. The next prime is 13440001. The reversal of 13440000 is 4431.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1919997 + ... + 1920003.

Almost surely, 213440000 is an apocalyptic number.

13440000 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 13440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25579312).

13440000 is an abundant number, since it is smaller than the sum of its proper divisors (37718624).

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

13440000 is an frugal number, since it uses more digits than its factorization.

13440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13440000 is about 3666.0605559647. The cubic root of 13440000 is about 237.7568781105.

Adding to 13440000 its reverse (4431), we get a palindrome (13444431).

The spelling of 13440000 in words is "thirteen million, four hundred forty thousand".