[go: up one dir, main page]

Search a number
-
+
14405700 = 22352311549
BaseRepresentation
bin110110111101…
…000001000100
31000002212220110
4312331001010
512141440300
61232433020
7233306061
oct66750104
930085813
1014405700
11814a241
1249a8770
132ca4caa
141cadc68
1513e8550
hexdbd044

14405700 has 72 divisors (see below), whose sum is σ = 43052800. Its totient is φ = 3715200.

The previous prime is 14405693. The next prime is 14405701. The reversal of 14405700 is 750441.

It is not an unprimeable number, because it can be changed into a prime (14405701) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8526 + ... + 10074.

Almost surely, 214405700 is an apocalyptic number.

14405700 is a gapful number since it is divisible by the number (10) 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 14405700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21526400).

14405700 is an abundant number, since it is smaller than the sum of its proper divisors (28647100).

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

14405700 is a wasteful number, since it uses less digits than its factorization.

14405700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 14405700 is about 3795.4841588393. The cubic root of 14405700 is about 243.3201760989.

It can be divided in two parts, 1440 and 5700, that added together give a triangular number (7140 = T119).

The spelling of 14405700 in words is "fourteen million, four hundred five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1549 1550 1860 2325 3098 3100 4647 4650 6196 7745 9294 9300 15490 18588 23235 30980 38725 46470 48019 77450 92940 96038 116175 144057 154900 192076 232350 240095 288114 464700 480190 576228 720285 960380 1200475 1440570 2400950 2881140 3601425 4801900 7202850 14405700