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1444480 = 2753761
BaseRepresentation
bin101100000101010000000
32201101110021
411200222000
5332210410
650543224
715164212
oct5405200
92641407
101444480
118a7294
12597b14
133b762b
142985b2
151d7eda
hex160a80

1444480 has 64 divisors (see below), whose sum is σ = 3604680. Its totient is φ = 552960.

The previous prime is 1444477. The next prime is 1444481. The reversal of 1444480 is 844441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 379456 = 1032^2 + 616^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1444481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23650 + ... + 23710.

21444480 is an apocalyptic number.

1444480 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 1444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802340).

1444480 is an abundant number, since it is smaller than the sum of its proper divisors (2160200).

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

1444480 is an equidigital number, since it uses as much as digits as its factorization.

1444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 1444480 is about 1201.8652170689. The cubic root of 1444480 is about 113.0413089370.

It can be divided in two parts, 144 and 4480, that added together give a square (4624 = 682).

The spelling of 1444480 in words is "one million, four hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 61 64 74 80 122 128 148 160 185 244 296 305 320 370 488 592 610 640 740 976 1184 1220 1480 1952 2257 2368 2440 2960 3904 4514 4736 4880 5920 7808 9028 9760 11285 11840 18056 19520 22570 23680 36112 39040 45140 72224 90280 144448 180560 288896 361120 722240 1444480