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14419080 = 2333513279
BaseRepresentation
bin110111000000…
…010010001000
31000010120021000
4313000102020
512142402310
61233015000
7233363064
oct67002210
930116230
1014419080
1181592a5
1249b4460
132cab100
141cb4aa4
1513ec4c0
hexdc0488

14419080 has 192 divisors, whose sum is σ = 52704000. Its totient is φ = 3504384.

The previous prime is 14419079. The next prime is 14419087. The reversal of 14419080 is 8091441.

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 (14419087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182481 + ... + 182559.

It is an arithmetic number, because the mean of its divisors is an integer number (274500).

Almost surely, 214419080 is an apocalyptic number.

14419080 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 14419080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26352000).

14419080 is an abundant number, since it is smaller than the sum of its proper divisors (38284920).

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

14419080 is a wasteful number, since it uses less digits than its factorization.

14419080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14419080 is about 3797.2463707271. The cubic root of 14419080 is about 243.3954846350.

The spelling of 14419080 in words is "fourteen million, four hundred nineteen thousand, eighty".