[go: up one dir, main page]

Search a number
-
+
14284764 = 223213131233
BaseRepresentation
bin110110011111…
…011111011100
3222212202000100
4312133133130
512124103024
61230101100
7232263354
oct66373734
928782010
1014284764
11807739a
12494a790
132c61c30
141c7bb64
1513c27c9
hexd9f7dc

14284764 has 72 divisors (see below), whose sum is σ = 39351312. Its totient is φ = 4343040.

The previous prime is 14284763. The next prime is 14284799. The reversal of 14284764 is 46748241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14284763) 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 23 ways as a sum of consecutive naturals, for example, 61192 + ... + 61424.

It is an arithmetic number, because the mean of its divisors is an integer number (546546).

Almost surely, 214284764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14284764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19675656).

14284764 is an abundant number, since it is smaller than the sum of its proper divisors (25066548).

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

14284764 is a wasteful number, since it uses less digits than its factorization.

14284764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 382 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 14284764 is about 3779.5190170179. The cubic root of 14284764 is about 242.6373700024.

The spelling of 14284764 in words is "fourteen million, two hundred eighty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 131 156 233 234 262 393 466 468 524 699 786 932 1179 1398 1572 1703 2097 2358 2796 3029 3406 4194 4716 5109 6058 6812 8388 9087 10218 12116 15327 18174 20436 27261 30523 30654 36348 54522 61046 61308 91569 109044 122092 183138 274707 366276 396799 549414 793598 1098828 1190397 1587196 2380794 3571191 4761588 7142382 14284764