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14459640 = 23351322331
BaseRepresentation
bin110111001010…
…001011111000
31000012121220020
4313022023320
512200202030
61233530440
7233622246
oct67121370
930177806
1014459640
118186818
124a13a20
132cc3700
141cc5796
151409510
hexdca2f8

14459640 has 192 divisors, whose sum is σ = 50595840. Its totient is φ = 3294720.

The previous prime is 14459633. The next prime is 14459651. The reversal of 14459640 is 4695441.

14459640 is nontrivially palindromic in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466425 + ... + 466455.

It is an arithmetic number, because the mean of its divisors is an integer number (263520).

Almost surely, 214459640 is an apocalyptic number.

14459640 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 14459640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25297920).

14459640 is an abundant number, since it is smaller than the sum of its proper divisors (36136200).

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

14459640 is a wasteful number, since it uses less digits than its factorization.

14459640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 14459640 is about 3802.5833324202. The cubic root of 14459640 is about 243.6234899062.

The spelling of 14459640 in words is "fourteen million, four hundred fifty-nine thousand, six hundred forty".