Search a number
-
+
14460520 = 2351953359
BaseRepresentation
bin110111001010…
…011001101000
31000012200002211
4313022121220
512200214040
61233534504
7233624644
oct67123150
930180084
1014460520
118187448
124a14434
132cc3c29
141cc5c24
1514098ea
hexdca668

14460520 has 64 divisors (see below), whose sum is σ = 34992000. Its totient is φ = 5361408.

The previous prime is 14460517. The next prime is 14460527. The reversal of 14460520 is 2506441.

14460520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14460491 and 14460500.

It is not an unprimeable number, because it can be changed into a prime (14460527) 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, 40101 + ... + 40459.

It is an arithmetic number, because the mean of its divisors is an integer number (546750).

Almost surely, 214460520 is an apocalyptic number.

14460520 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 14460520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17496000).

14460520 is an abundant number, since it is smaller than the sum of its proper divisors (20531480).

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

14460520 is a wasteful number, since it uses less digits than its factorization.

14460520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 14460520 is about 3802.6990414704. The cubic root of 14460520 is about 243.6284320376.

Adding to 14460520 its reverse (2506441), we get a palindrome (16966961).

The spelling of 14460520 in words is "fourteen million, four hundred sixty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 53 76 95 106 152 190 212 265 359 380 424 530 718 760 1007 1060 1436 1795 2014 2120 2872 3590 4028 5035 6821 7180 8056 10070 13642 14360 19027 20140 27284 34105 38054 40280 54568 68210 76108 95135 136420 152216 190270 272840 361513 380540 723026 761080 1446052 1807565 2892104 3615130 7230260 14460520