Search a number
-
+
14718340 = 2257138087
BaseRepresentation
bin111000001001…
…010110000100
31000200202202201
4320021112010
512231441330
61243244244
7236050420
oct70112604
930622681
1014718340
11834311a
124b19684
1330843a0
141d51b80
15145aeca
hexe09584

14718340 has 48 divisors (see below), whose sum is σ = 38045952. Its totient is φ = 4657536.

The previous prime is 14718313. The next prime is 14718349. The reversal of 14718340 is 4381741.

It is a super-3 number, since 3×147183403 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14718299 and 14718308.

It is not an unprimeable number, because it can be changed into a prime (14718349) 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, 2224 + ... + 5863.

It is an arithmetic number, because the mean of its divisors is an integer number (792624).

Almost surely, 214718340 is an apocalyptic number.

14718340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14718340 is an abundant number, since it is smaller than the sum of its proper divisors (23327612).

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

14718340 is a wasteful number, since it uses less digits than its factorization.

14718340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8116 (or 8114 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 14718340 is about 3836.4488788462. The cubic root of 14718340 is about 245.0678140753.

The spelling of 14718340 in words is "fourteen million, seven hundred eighteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 8087 16174 32348 40435 56609 80870 105131 113218 161740 210262 226436 283045 420524 525655 566090 735917 1051310 1132180 1471834 2102620 2943668 3679585 7359170 14718340