Search a number
-
+
14194080 = 253259857
BaseRepresentation
bin110110001001…
…010110100000
3222201010121200
4312021112200
512113202310
61224121200
7231435105
oct66112640
928633550
1014194080
11801524a
124906200
132c2c884
141c56aac
1513a59c0
hexd895a0

14194080 has 72 divisors (see below), whose sum is σ = 48442212. Its totient is φ = 3784704.

The previous prime is 14194069. The next prime is 14194087. The reversal of 14194080 is 8049141.

It can be written as a sum of positive squares in 2 ways, for example, as 13927824 + 266256 = 3732^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (14194087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3489 + ... + 6368.

Almost surely, 214194080 is an apocalyptic number.

14194080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14194080 is an abundant number, since it is smaller than the sum of its proper divisors (34248132).

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

14194080 is a wasteful number, since it uses less digits than its factorization.

14194080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9878 (or 9867 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14194080 is about 3767.5031519562. The cubic root of 14194080 is about 242.1228345288.

The spelling of 14194080 in words is "fourteen million, one hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9857 19714 29571 39428 49285 59142 78856 88713 98570 118284 147855 157712 177426 197140 236568 295710 315424 354852 394280 443565 473136 591420 709704 788560 887130 946272 1182840 1419408 1577120 1774260 2365680 2838816 3548520 4731360 7097040 14194080