Search a number
-
+
7141365 = 345711229
BaseRepresentation
bin11011001111011111110101
3111102211010000
4123033133311
53312010430
6413021513
7114462210
oct33173765
914384100
107141365
114038460
122484899
13163067a
14d3c777
15960e60
hex6cf7f5

7141365 has 80 divisors (see below), whose sum is σ = 16030080. Its totient is φ = 2954880.

The previous prime is 7141361. The next prime is 7141369. The reversal of 7141365 is 5631417.

It is an interprime number because it is at equal distance from previous prime (7141361) and next prime (7141369).

It is not a de Polignac number, because 7141365 - 22 = 7141361 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7141361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31071 + ... + 31299.

It is an arithmetic number, because the mean of its divisors is an integer number (200376).

Almost surely, 27141365 is an apocalyptic number.

It is an amenable number.

7141365 is an abundant number, since it is smaller than the sum of its proper divisors (8888715).

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

7141365 is a wasteful number, since it uses less digits than its factorization.

7141365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 7141365 is about 2672.3332501767. Note that the first 3 decimals coincide. The cubic root of 7141365 is about 192.5722672387.

The spelling of 7141365 in words is "seven million, one hundred forty-one thousand, three hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 229 231 297 315 385 405 495 567 687 693 891 945 1145 1155 1485 1603 2061 2079 2519 2835 3435 3465 4455 4809 6183 6237 7557 8015 10305 10395 12595 14427 17633 18549 22671 24045 30915 31185 37785 43281 52899 68013 72135 88165 92745 113355 129843 158697 204039 216405 264495 340065 476091 649215 793485 1020195 1428273 2380455 7141365