Search a number
-
+
14016240 = 243557103
BaseRepresentation
bin110101011101…
…111011110000
3222101002200000
4311131323300
512042004430
61220230000
7230064450
oct65357360
928332600
1014016240
117a03677
12483b300
132b99944
141c0bd60
15136ce60
hexd5def0

14016240 has 240 divisors, whose sum is σ = 56329728. Its totient is φ = 3172608.

The previous prime is 14016227. The next prime is 14016257. The reversal of 14016240 is 4261041.

14016240 is a `hidden beast` number, since 1 + 40 + 1 + 624 + 0 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136029 + ... + 136131.

Almost surely, 214016240 is an apocalyptic number.

14016240 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 14016240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28164864).

14016240 is an abundant number, since it is smaller than the sum of its proper divisors (42313488).

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

14016240 is a wasteful number, since it uses less digits than its factorization.

14016240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14016240 is about 3743.8269190763. The cubic root of 14016240 is about 241.1073825740.

Adding to 14016240 its reverse (4261041), we get a palindrome (18277281).

The spelling of 14016240 in words is "fourteen million, sixteen thousand, two hundred forty".