Search a number
-
+
14469840 = 2434571129
BaseRepresentation
bin110111001100…
…101011010000
31000020010220000
4313030223100
512201013330
61234050000
7233664060
oct67145320
930203800
1014469840
118193450
124a19900
132cc8248
141cc93a0
15140c560
hexdccad0

14469840 has 400 divisors, whose sum is σ = 64817280. Its totient is φ = 2903040.

The previous prime is 14469821. The next prime is 14469853. The reversal of 14469840 is 4896441.

It is a happy number.

14469840 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

14469840 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 14469795 and 14469804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 498946 + ... + 498974.

Almost surely, 214469840 is an apocalyptic number.

14469840 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 14469840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32408640).

14469840 is an abundant number, since it is smaller than the sum of its proper divisors (50347440).

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

14469840 is a wasteful number, since it uses less digits than its factorization.

14469840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14469840 is about 3803.9242894674. The cubic root of 14469840 is about 243.6807613993.

The spelling of 14469840 in words is "fourteen million, four hundred sixty-nine thousand, eight hundred forty".