Search a number
-
+
14742162 = 2341753101
BaseRepresentation
bin111000001111…
…001010010010
31000201222110000
4320033022102
512233222122
61243550430
7236210031
oct70171222
930658400
1014742162
11835a006
124b2b416
133092196
141d5a718
1514630ac
hexe0f292

14742162 has 80 divisors (see below), whose sum is σ = 35989272. Its totient is φ = 4492800.

The previous prime is 14742151. The next prime is 14742173. The reversal of 14742162 is 26124741.

It is an interprime number because it is at equal distance from previous prime (14742151) and next prime (14742173).

It can be written as a sum of positive squares in 4 ways, for example, as 14356521 + 385641 = 3789^2 + 621^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145912 + ... + 146012.

Almost surely, 214742162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14742162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17994636).

14742162 is an abundant number, since it is smaller than the sum of its proper divisors (21247110).

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

14742162 is a wasteful number, since it uses less digits than its factorization.

14742162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 14742162 is about 3839.5523176537. The cubic root of 14742162 is about 245.1999589287.

The spelling of 14742162 in words is "fourteen million, seven hundred forty-two thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 81 101 102 106 153 159 162 202 303 306 318 459 477 606 901 909 918 954 1377 1431 1717 1802 1818 2703 2727 2754 2862 3434 4293 5151 5353 5406 5454 8109 8181 8586 10302 10706 15453 16059 16218 16362 24327 30906 32118 46359 48177 48654 72981 91001 92718 96354 139077 144531 145962 182002 273003 278154 289062 433593 546006 819009 867186 1638018 2457027 4914054 7371081 14742162