[go: up one dir, main page]

Search a number
-
+
12285135 = 3351753101
BaseRepresentation
bin101110110111…
…010011001111
3212010011001000
4232313103033
511121111020
61115151343
7206264502
oct56672317
925104030
1012285135
116a31005
124145553
132711a15
1418bb139
15112a090
hexbb74cf

12285135 has 64 divisors (see below), whose sum is σ = 23794560. Its totient is φ = 5990400.

The previous prime is 12285127. The next prime is 12285137. The reversal of 12285135 is 53158221.

It is a happy number.

It is not a de Polignac number, because 12285135 - 23 = 12285127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12285099 and 12285108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12285137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121585 + ... + 121685.

It is an arithmetic number, because the mean of its divisors is an integer number (371790).

Almost surely, 212285135 is an apocalyptic number.

12285135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12285135 is the 2862-nd pentagonal number.

12285135 is a deficient number, since it is larger than the sum of its proper divisors (11509425).

12285135 is a wasteful number, since it uses less digits than its factorization.

12285135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 12285135 is about 3505.0156918336. The cubic root of 12285135 is about 230.7419956320.

The spelling of 12285135 in words is "twelve million, two hundred eighty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 17 27 45 51 53 85 101 135 153 159 255 265 303 459 477 505 765 795 901 909 1431 1515 1717 2295 2385 2703 2727 4505 4545 5151 5353 7155 8109 8585 13515 13635 15453 16059 24327 25755 26765 40545 46359 48177 77265 80295 91001 121635 144531 231795 240885 273003 455005 722655 819009 1365015 2457027 4095045 12285135