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14144060 = 2257313259
BaseRepresentation
bin110101111101…
…001000111100
3222121121000002
4311331020330
512110102220
61223053432
7231136220
oct65751074
928547002
1014144060
117a90707
1248a1278
132c12b88
141c42780
151395c75
hexd7d23c

14144060 has 48 divisors (see below), whose sum is σ = 35051520. Its totient is φ = 4691520.

The previous prime is 14144059. The next prime is 14144069. The reversal of 14144060 is 6044141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14144069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2711 + ... + 5969.

It is an arithmetic number, because the mean of its divisors is an integer number (730240).

Almost surely, 214144060 is an apocalyptic number.

14144060 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 14144060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17525760).

14144060 is an abundant number, since it is smaller than the sum of its proper divisors (20907460).

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

14144060 is a wasteful number, since it uses less digits than its factorization.

14144060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 14144060 is about 3760.8589444434. The cubic root of 14144060 is about 241.8380858052.

The spelling of 14144060 in words is "fourteen million, one hundred forty-four thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 3259 4340 6518 13036 16295 22813 32590 45626 65180 91252 101029 114065 202058 228130 404116 456260 505145 707203 1010290 1414406 2020580 2828812 3536015 7072030 14144060