[go: up one dir, main page]

Search a number
-
+
14545728 = 263225253
BaseRepresentation
bin110111011111…
…001101000000
31000100222222200
4313133031000
512210430403
61235433200
7234431241
oct67371500
930328880
1014545728
11823546a
124a55800
133023952
141d08cc8
151424ca3
hexddf340

14545728 has 42 divisors (see below), whose sum is σ = 41694354. Its totient is φ = 4848384.

The previous prime is 14545721. The next prime is 14545747. The reversal of 14545728 is 82754541.

It can be written as a sum of positive squares in only one way, i.e., 14379264 + 166464 = 3792^2 + 408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14545692 and 14545701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14545721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12051 + ... + 13202.

Almost surely, 214545728 is an apocalyptic number.

14545728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14545728 is an abundant number, since it is smaller than the sum of its proper divisors (27148626).

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

14545728 is a wasteful number, since it uses less digits than its factorization.

14545728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25271 (or 25258 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 14545728 is about 3813.8862070072. The cubic root of 14545728 is about 244.1060186059.

The spelling of 14545728 in words is "fourteen million, five hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 25253 50506 75759 101012 151518 202024 227277 303036 404048 454554 606072 808096 909108 1212144 1616192 1818216 2424288 3636432 4848576 7272864 14545728