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12144564 = 2232337349
BaseRepresentation
bin101110010100…
…111110110100
3211212000012200
4232110332310
511102111224
61112144500
7205140615
oct56247664
924760180
1012144564
116945433
124098130
132692a43
141881c0c
1510ed5c9
hexb94fb4

12144564 has 18 divisors (see below), whose sum is σ = 30698850. Its totient is φ = 4048176.

The previous prime is 12144563. The next prime is 12144577. The reversal of 12144564 is 46544121.

It can be written as a sum of positive squares in only one way, i.e., 11902500 + 242064 = 3450^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168639 + ... + 168710.

Almost surely, 212144564 is an apocalyptic number.

It is an amenable number.

12144564 is an abundant number, since it is smaller than the sum of its proper divisors (18554286).

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

12144564 is a wasteful number, since it uses less digits than its factorization.

12144564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337359 (or 337354 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 12144564 is about 3484.9051637025. The cubic root of 12144564 is about 229.8585393520.

Adding to 12144564 its reverse (46544121), we get a palindrome (58688685).

It can be divided in two parts, 1214 and 4564, that added together give a triangular number (5778 = T107).

The spelling of 12144564 in words is "twelve million, one hundred forty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 337349 674698 1012047 1349396 2024094 3036141 4048188 6072282 12144564