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14770080 = 2533513263
BaseRepresentation
bin111000010101…
…111110100000
31000210101202000
4320111332200
512240120310
61244324000
7236354313
oct70257640
930711660
1014770080
118378a86
124b43600
1330a1ac0
141d6697a
15146b4c0
hexe15fa0

14770080 has 192 divisors, whose sum is σ = 55883520. Its totient is φ = 3621888.

The previous prime is 14770073. The next prime is 14770081. The reversal of 14770080 is 8007741.

14770080 is digitally balanced in base 2 and base 4, because in such bases 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 not an unprimeable number, because it can be changed into a prime (14770081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56029 + ... + 56291.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 214770080 is an apocalyptic number.

14770080 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 14770080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941760).

14770080 is an abundant number, since it is smaller than the sum of its proper divisors (41113440).

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

14770080 is a wasteful number, since it uses less digits than its factorization.

14770080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 14770080 is about 3843.1861781600. The cubic root of 14770080 is about 245.3546439690.

The spelling of 14770080 in words is "fourteen million, seven hundred seventy thousand, eighty".