Search a number
-
+
14091840 = 263357233
BaseRepresentation
bin110101110000…
…011001000000
3222111221101000
4311300121000
512101414330
61222012000
7230531040
oct65603100
928457330
1014091840
117a55454
124877000
132bc5189
141c2b720
151385560
hexd70640

14091840 has 224 divisors, whose sum is σ = 57058560. Its totient is φ = 3207168.

The previous prime is 14091829. The next prime is 14091841. The reversal of 14091840 is 4819041.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14091841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60364 + ... + 60596.

Almost surely, 214091840 is an apocalyptic number.

14091840 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 14091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28529280).

14091840 is an abundant number, since it is smaller than the sum of its proper divisors (42966720).

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

14091840 is a wasteful number, since it uses less digits than its factorization.

14091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14091840 is about 3753.9099616267. The cubic root of 14091840 is about 241.5400959620.

It can be divided in two parts, 1409 and 1840, that added together give a square (3249 = 572).

The spelling of 14091840 in words is "fourteen million, ninety-one thousand, eight hundred forty".