Search a number
-
+
14190160 = 245891993
BaseRepresentation
bin110110001000…
…011001010000
3222200221020111
4312020121100
512113041120
61224051104
7231420505
oct66103120
928627214
1014190160
118012306
124903a94
132c2ab5a
141c554ac
1513a475a
hexd88650

14190160 has 40 divisors (see below), whose sum is σ = 33379560. Its totient is φ = 5609472.

The previous prime is 14190151. The next prime is 14190173. The reversal of 14190160 is 6109141.

It can be written as a sum of positive squares in 4 ways, for example, as 1056784 + 13133376 = 1028^2 + 3624^2 .

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6124 + ... + 8116.

It is an arithmetic number, because the mean of its divisors is an integer number (834489).

Almost surely, 214190160 is an apocalyptic number.

14190160 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 14190160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16689780).

14190160 is an abundant number, since it is smaller than the sum of its proper divisors (19189400).

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

14190160 is a wasteful number, since it uses less digits than its factorization.

14190160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 14190160 is about 3766.9828775825. The cubic root of 14190160 is about 242.1005433365.

The spelling of 14190160 in words is "fourteen million, one hundred ninety thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 1993 3560 3986 7120 7972 9965 15944 19930 31888 39860 79720 159440 177377 354754 709508 886885 1419016 1773770 2838032 3547540 7095080 14190160