Search a number
-
+
14215460 = 2257591721
BaseRepresentation
bin110110001110…
…100100100100
3222202012221112
4312032210210
512114343320
61224404152
7231554330
oct66164444
928665845
1014215460
11802a316
124916658
132c3951c
141c607c0
1513abec5
hexd8e924

14215460 has 48 divisors (see below), whose sum is σ = 34715520. Its totient is φ = 4788480.

The previous prime is 14215459. The next prime is 14215469. The reversal of 14215460 is 6451241.

It is not an unprimeable number, because it can be changed into a prime (14215469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7400 + ... + 9120.

It is an arithmetic number, because the mean of its divisors is an integer number (723240).

Almost surely, 214215460 is an apocalyptic number.

14215460 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 14215460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357760).

14215460 is an abundant number, since it is smaller than the sum of its proper divisors (20500060).

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

14215460 is a wasteful number, since it uses less digits than its factorization.

14215460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 14215460 is about 3770.3395072593. The cubic root of 14215460 is about 242.2443403320.

The spelling of 14215460 in words is "fourteen million, two hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 1721 2065 3442 4130 6884 8260 8605 12047 17210 24094 34420 48188 60235 101539 120470 203078 240940 406156 507695 710773 1015390 1421546 2030780 2843092 3553865 7107730 14215460