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1444080 = 243511547
BaseRepresentation
bin101100000100011110000
32201100220110
411200203300
5332202310
650541320
715163101
oct5404360
92640813
101444080
118a6a60
12597840
133b73b1
142983a8
151d7d20
hex1608f0

1444080 has 80 divisors (see below), whose sum is σ = 4892544. Its totient is φ = 349440.

The previous prime is 1444067. The next prime is 1444081. The reversal of 1444080 is 804441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367 + ... + 2913.

21444080 is an apocalyptic number.

1444080 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 1444080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446272).

1444080 is an abundant number, since it is smaller than the sum of its proper divisors (3448464).

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

1444080 is a wasteful number, since it uses less digits than its factorization.

1444080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1444080 is about 1201.6987975362. The cubic root of 1444080 is about 113.0308736482.

It can be divided in two parts, 144 and 4080, that added together give a palindrome (4224).

The spelling of 1444080 in words is "one million, four hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 547 660 880 1094 1320 1641 2188 2640 2735 3282 4376 5470 6017 6564 8205 8752 10940 12034 13128 16410 18051 21880 24068 26256 30085 32820 36102 43760 48136 60170 65640 72204 90255 96272 120340 131280 144408 180510 240680 288816 361020 481360 722040 1444080