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16314480 = 2433571383
BaseRepresentation
bin111110001111…
…000001110000
31010200212021000
4332033001300
513134030410
61341402000
7255446040
oct76170160
933625230
1016314480
119233346
125569300
1334c2a50
142249720
151673dc0
hexf8f070

16314480 has 320 divisors, whose sum is σ = 69995520. Its totient is φ = 3400704.

The previous prime is 16314449. The next prime is 16314497. The reversal of 16314480 is 8441361.

16314480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196519 + ... + 196601.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 216314480 is an apocalyptic number.

16314480 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 16314480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34997760).

16314480 is an abundant number, since it is smaller than the sum of its proper divisors (53681040).

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

16314480 is a wasteful number, since it uses less digits than its factorization.

16314480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 16314480 is about 4039.1187157597. The cubic root of 16314480 is about 253.6244268550.

The spelling of 16314480 in words is "sixteen million, three hundred fourteen thousand, four hundred eighty".