Search a number
-
+
1801440 = 25345139
BaseRepresentation
bin110110111110011100000
310101112010000
412313303200
5430121230
6102340000
721212004
oct6676340
93345100
101801440
1110204a3
1272a600
134b0c54
1434c704
15258b60
hex1b7ce0

1801440 has 120 divisors (see below), whose sum is σ = 6403320. Its totient is φ = 476928.

The previous prime is 1801433. The next prime is 1801453. The reversal of 1801440 is 441081.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12891 + ... + 13029.

It is an arithmetic number, because the mean of its divisors is an integer number (53361).

21801440 is an apocalyptic number.

1801440 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 1801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201660).

1801440 is an abundant number, since it is smaller than the sum of its proper divisors (4601880).

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

1801440 is a wasteful number, since it uses less digits than its factorization.

1801440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

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

The square root of 1801440 is about 1342.1773355261. The cubic root of 1801440 is about 121.6764696757.

The spelling of 1801440 in words is "one million, eight hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 139 144 160 162 180 216 240 270 278 288 324 360 405 417 432 480 540 556 648 695 720 810 834 864 1080 1112 1251 1296 1390 1440 1620 1668 2085 2160 2224 2502 2592 2780 3240 3336 3753 4170 4320 4448 5004 5560 6255 6480 6672 7506 8340 10008 11120 11259 12510 12960 13344 15012 16680 18765 20016 22240 22518 25020 30024 33360 37530 40032 45036 50040 56295 60048 66720 75060 90072 100080 112590 120096 150120 180144 200160 225180 300240 360288 450360 600480 900720 1801440