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14241920 = 275711172
BaseRepresentation
bin110110010101…
…000010000000
3222210120020112
4312111002000
512121220140
61225130452
7232024430
oct66250200
928716215
1014241920
118048190
124929a28
132c48594
141c6a2c0
1513b4c65
hexd95080

14241920 has 192 divisors, whose sum is σ = 45092160. Its totient is φ = 4177920.

The previous prime is 14241919. The next prime is 14241943. The reversal of 14241920 is 2914241.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837752 + ... + 837768.

It is an arithmetic number, because the mean of its divisors is an integer number (234855).

Almost surely, 214241920 is an apocalyptic number.

14241920 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 14241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22546080).

14241920 is an abundant number, since it is smaller than the sum of its proper divisors (30850240).

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

14241920 is a wasteful number, since it uses less digits than its factorization.

14241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 14241920 is about 3773.8468437392. The cubic root of 14241920 is about 242.3945479790.

The spelling of 14241920 in words is "fourteen million, two hundred forty-one thousand, nine hundred twenty".