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14144080 = 245237687
BaseRepresentation
bin110101111101…
…001001010000
3222121121000211
4311331021100
512110102310
61223053504
7231136246
oct65751120
928547024
1014144080
117a90725
1248a1294
132c12ba2
141c42796
151395c8a
hexd7d250

14144080 has 40 divisors (see below), whose sum is σ = 34319232. Its totient is φ = 5410944.

The previous prime is 14144069. The next prime is 14144087. The reversal of 14144080 is 8044141.

14144080 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14144087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2004 + ... + 5683.

Almost surely, 214144080 is an apocalyptic number.

14144080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14144080 is an abundant number, since it is smaller than the sum of its proper divisors (20175152).

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

14144080 is a wasteful number, since it uses less digits than its factorization.

14144080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7723 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 14144080 is about 3760.8616034095. The cubic root of 14144080 is about 241.8381997932.

The spelling of 14144080 in words is "fourteen million, one hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 7687 15374 30748 38435 61496 76870 122992 153740 176801 307480 353602 614960 707204 884005 1414408 1768010 2828816 3536020 7072040 14144080