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14454720 = 263357239
BaseRepresentation
bin110111001000…
…111111000000
31000012101011000
4313020333000
512200022340
61233452000
7233602020
oct67107700
930171130
1014454720
118183055
124a11000
132cc13b7
141cc3a80
151407d30
hexdc8fc0

14454720 has 224 divisors, whose sum is σ = 58521600. Its totient is φ = 3290112.

The previous prime is 14454719. The next prime is 14454761. The reversal of 14454720 is 2745441.

14454720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60361 + ... + 60599.

Almost surely, 214454720 is an apocalyptic number.

14454720 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 14454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29260800).

14454720 is an abundant number, since it is smaller than the sum of its proper divisors (44066880).

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

14454720 is a wasteful number, since it uses less digits than its factorization.

14454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 14454720 is about 3801.9363487570. The cubic root of 14454720 is about 243.5958552038.

The spelling of 14454720 in words is "fourteen million, four hundred fifty-four thousand, seven hundred twenty".