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1441800 = 23345289
BaseRepresentation
bin101100000000000001000
32201020210000
411200000020
5332114200
650523000
715153333
oct5400010
92636700
101441800
118a5278
12596460
133b6349
1429761a
151d7300
hex160008

1441800 has 120 divisors (see below), whose sum is σ = 5063850. Its totient is φ = 380160.

The previous prime is 1441771. The next prime is 1441807. The reversal of 1441800 is 81441.

It can be written as a sum of positive squares in 3 ways, for example, as 842724 + 599076 = 918^2 + 774^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1441807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16156 + ... + 16244.

21441800 is an apocalyptic number.

1441800 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 1441800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531925).

1441800 is an abundant number, since it is smaller than the sum of its proper divisors (3622050).

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

1441800 is a wasteful number, since it uses less digits than its factorization.

1441800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1441800 is about 1200.7497657714. The cubic root of 1441800 is about 112.9713556759.

It can be divided in two parts, 14 and 41800, that added together give a palindrome (41814).

The spelling of 1441800 in words is "one million, four hundred forty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 89 90 100 108 120 135 150 162 178 180 200 216 225 267 270 300 324 356 360 405 445 450 534 540 600 648 675 712 801 810 890 900 1068 1080 1335 1350 1602 1620 1780 1800 2025 2136 2225 2403 2670 2700 3204 3240 3560 4005 4050 4450 4806 5340 5400 6408 6675 7209 8010 8100 8900 9612 10680 12015 13350 14418 16020 16200 17800 19224 20025 24030 26700 28836 32040 36045 40050 48060 53400 57672 60075 72090 80100 96120 120150 144180 160200 180225 240300 288360 360450 480600 720900 1441800