Search a number
-
+
14361768 = 23321731153
BaseRepresentation
bin110110110010…
…010010101000
31000000122122100
4312302102220
512134034033
61231453400
7233034021
oct66622250
930018570
1014361768
11811a233
124987260
132c8acb5
141c9bc48
1513da513
hexdb24a8

14361768 has 48 divisors (see below), whose sum is σ = 39155220. Its totient is φ = 4755456.

The previous prime is 14361751. The next prime is 14361791. The reversal of 14361768 is 86716341.

It can be written as a sum of positive squares in 2 ways, for example, as 12236004 + 2125764 = 3498^2 + 1458^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 11880 + ... + 13032.

Almost surely, 214361768 is an apocalyptic number.

14361768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14361768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19577610).

14361768 is an abundant number, since it is smaller than the sum of its proper divisors (24793452).

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

14361768 is a wasteful number, since it uses less digits than its factorization.

14361768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1331 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 14361768 is about 3789.6923357972. The cubic root of 14361768 is about 243.0725790414.

It can be divided in two parts, 14361 and 768, that added together give a square (15129 = 1232).

The spelling of 14361768 in words is "fourteen million, three hundred sixty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1153 1384 1557 2076 2306 3114 3459 4152 4612 6228 6918 9224 10377 12456 13836 20754 27672 41508 83016 199469 398938 598407 797876 1196814 1595752 1795221 2393628 3590442 4787256 7180884 14361768