[go: up one dir, main page]

Search a number
-
+
14392080 = 243452221
BaseRepresentation
bin110110111001…
…101100010000
31000002012020000
4312321230100
512141021310
61232250000
7233221263
oct66715420
930065200
1014392080
11813aa8a
1249a0900
132c9ba31
141ca8cda
1513e44c0
hexdb9b10

14392080 has 100 divisors (see below), whose sum is σ = 50008332. Its totient is φ = 3836160.

The previous prime is 14392073. The next prime is 14392093. The reversal of 14392080 is 8029341.

14392080 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 can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 6906384 = 2736^2 + 2628^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5370 + ... + 7590.

Almost surely, 214392080 is an apocalyptic number.

14392080 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 14392080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25004166).

14392080 is an abundant number, since it is smaller than the sum of its proper divisors (35616252).

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

14392080 is a wasteful number, since it uses less digits than its factorization.

14392080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14392080 is about 3793.6894970464. The cubic root of 14392080 is about 243.2434688286.

The spelling of 14392080 in words is "fourteen million, three hundred ninety-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 2221 3240 4442 6480 6663 8884 11105 13326 17768 19989 22210 26652 33315 35536 39978 44420 53304 59967 66630 79956 88840 99945 106608 119934 133260 159912 177680 179901 199890 239868 266520 299835 319824 359802 399780 479736 533040 599670 719604 799560 899505 959472 1199340 1439208 1599120 1799010 2398680 2878416 3598020 4797360 7196040 14392080