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14353920 = 29325789
BaseRepresentation
bin110110110000…
…011000000000
31000000020212200
4312300120000
512133311140
61231353200
7233002110
oct66603000
930006780
1014353920
118114349
124982800
132c87559
141c99040
1513d8030
hexdb0600

14353920 has 240 divisors, whose sum is σ = 57451680. Its totient is φ = 3244032.

The previous prime is 14353919. The next prime is 14353931. The reversal of 14353920 is 2935341.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 161236 + ... + 161324.

It is an arithmetic number, because the mean of its divisors is an integer number (239382).

Almost surely, 214353920 is an apocalyptic number.

14353920 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 14353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28725840).

14353920 is an abundant number, since it is smaller than the sum of its proper divisors (43097760).

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

14353920 is an equidigital number, since it uses as much as digits as its factorization.

14353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 14353920 is about 3788.6567540489. The cubic root of 14353920 is about 243.0282952369.

The spelling of 14353920 in words is "fourteen million, three hundred fifty-three thousand, nine hundred twenty".