Search a number
-
+
14185780 = 2257195333
BaseRepresentation
bin110110000111…
…010100110100
3222200201020021
4312013110310
512112421110
61224014524
7231401650
oct66072464
928621207
1014185780
118009a94
124901444
132c28b6b
141c53a60
1513a32da
hexd87534

14185780 has 48 divisors (see below), whose sum is σ = 35844480. Its totient is φ = 4606848.

The previous prime is 14185771. The next prime is 14185781. The reversal of 14185780 is 8758141.

14185780 = T41 + T42 + ... + T439.

14185780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14185781) 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, 7 + ... + 5326.

It is an arithmetic number, because the mean of its divisors is an integer number (746760).

Almost surely, 214185780 is an apocalyptic number.

14185780 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 14185780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922240).

14185780 is an abundant number, since it is smaller than the sum of its proper divisors (21658700).

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

14185780 is a wasteful number, since it uses less digits than its factorization.

14185780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 14185780 is about 3766.4014655902. The cubic root of 14185780 is about 242.0756314844.

The spelling of 14185780 in words is "fourteen million, one hundred eighty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 5333 10666 21332 26665 37331 53330 74662 101327 106660 149324 186655 202654 373310 405308 506635 709289 746620 1013270 1418578 2026540 2837156 3546445 7092890 14185780