Search a number
-
+
1441200 = 243521201
BaseRepresentation
bin101011111110110110000
32201012221210
411133312300
5332104300
650520120
715151515
oct5376660
92635853
101441200
118a4882
12596040
133b5ca7
1429730c
151d7050
hex15fdb0

1441200 has 60 divisors (see below), whose sum is σ = 4620488. Its totient is φ = 384000.

The previous prime is 1441199. The next prime is 1441201. The reversal of 1441200 is 21441.

It is an interprime number because it is at equal distance from previous prime (1441199) and next prime (1441201).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

1441200 is an undulating number in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600 + ... + 1800.

21441200 is an apocalyptic number.

1441200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1200×1201.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310244).

1441200 is an abundant number, since it is smaller than the sum of its proper divisors (3179288).

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

1441200 is a wasteful number, since it uses less digits than its factorization.

1441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1441200 is about 1200.4998958767. The cubic root of 1441200 is about 112.9556826241.

Adding to 1441200 its reverse (21441), we get a palindrome (1462641).

It can be divided in two parts, 14 and 41200, that added together give a palindrome (41214).

The spelling of 1441200 in words is "one million, four hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1201 2402 3603 4804 6005 7206 9608 12010 14412 18015 19216 24020 28824 30025 36030 48040 57648 60050 72060 90075 96080 120100 144120 180150 240200 288240 360300 480400 720600 1441200