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19440000 = 273554
BaseRepresentation
bin100101000101…
…0000110000000
31100120122200000
41022022012000
514434040000
61532400000
7324144246
oct112120600
940518600
1019440000
11aa78618
126616000
134048578
142820796
151a90000
hex128a180

19440000 has 240 divisors, whose sum is σ = 72492420. Its totient is φ = 5184000.

The previous prime is 19439977. The next prime is 19440019. The reversal of 19440000 is 4491.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 3887998 + ... + 3888002.

Almost surely, 219440000 is an apocalyptic number.

19440000 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 19440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36246210).

19440000 is an abundant number, since it is smaller than the sum of its proper divisors (53052420).

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

19440000 is an frugal number, since it uses more digits than its factorization.

19440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 19440000 is about 4409.0815370097. The cubic root of 19440000 is about 268.8842847934.

Adding to 19440000 its reverse (4491), we get a palindrome (19444491).

The spelling of 19440000 in words is "nineteen million, four hundred forty thousand".