Search a number
-
+
14246160 = 243559359
BaseRepresentation
bin110110010110…
…000100010000
3222210210001120
4312112010100
512121334120
61225202240
7232042665
oct66260420
928723046
1014246160
118050395
124930380
132c4a4a6
141c6ba6c
1513b6140
hexd96110

14246160 has 40 divisors (see below), whose sum is σ = 44163840. Its totient is φ = 3798912.

The previous prime is 14246159. The next prime is 14246161. The reversal of 14246160 is 6164241.

It is an interprime number because it is at equal distance from previous prime (14246159) and next prime (14246161).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×142461603 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 14246160.

It is not an unprimeable number, because it can be changed into a prime (14246161) 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, 29440 + ... + 29919.

It is an arithmetic number, because the mean of its divisors is an integer number (1104096).

Almost surely, 214246160 is an apocalyptic number.

14246160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14246160 is an abundant number, since it is smaller than the sum of its proper divisors (29917680).

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

14246160 is a wasteful number, since it uses less digits than its factorization.

14246160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59375 (or 59369 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14246160 is about 3774.4085629407. The cubic root of 14246160 is about 242.4186002348.

The spelling of 14246160 in words is "fourteen million, two hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 59359 118718 178077 237436 296795 356154 474872 593590 712308 890385 949744 1187180 1424616 1780770 2374360 2849232 3561540 4748720 7123080 14246160