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1085440 = 212553
BaseRepresentation
bin100001001000000000000
32001010221111
410021000000
5234213230
635133104
712140356
oct4110000
92033844
101085440
11681564
12444194
132c0095
142037d6
1516692a
hex109000

1085440 has 52 divisors (see below), whose sum is σ = 2653884. Its totient is φ = 425984.

The previous prime is 1085431. The next prime is 1085443. The reversal of 1085440 is 445801.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 495616 = 768^2 + 704^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20454 + ... + 20506.

21085440 is an apocalyptic number.

1085440 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 1085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326942).

1085440 is an abundant number, since it is smaller than the sum of its proper divisors (1568444).

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

1085440 is an frugal number, since it uses more digits than its factorization.

1085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1085440 is about 1041.8445181504. The cubic root of 1085440 is about 102.7705326170.

The spelling of 1085440 in words is "one million, eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 512 530 640 848 1024 1060 1280 1696 2048 2120 2560 3392 4096 4240 5120 6784 8480 10240 13568 16960 20480 27136 33920 54272 67840 108544 135680 217088 271360 542720 1085440