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1095840 = 25325761
BaseRepresentation
bin100001011100010100000
32001200012200
410023202200
5240031330
635253200
712212604
oct4134240
92050180
101095840
11689359
1244a200
132c4a35
14207504
15169a60
hex10b8a0

1095840 has 72 divisors (see below), whose sum is σ = 3744468. Its totient is φ = 291840.

The previous prime is 1095839. The next prime is 1095841. The reversal of 1095840 is 485901.

It is an interprime number because it is at equal distance from previous prime (1095839) and next prime (1095841).

It can be written as a sum of positive squares in 2 ways, for example, as 898704 + 197136 = 948^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1095841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1060 + ... + 1820.

21095840 is an apocalyptic number.

1095840 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 1095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872234).

1095840 is an abundant number, since it is smaller than the sum of its proper divisors (2648628).

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

1095840 is a wasteful number, since it uses less digits than its factorization.

1095840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1095840 is about 1046.8237674031. The cubic root of 1095840 is about 103.0977173006.

The spelling of 1095840 in words is "one million, ninety-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 761 1440 1522 2283 3044 3805 4566 6088 6849 7610 9132 11415 12176 13698 15220 18264 22830 24352 27396 30440 34245 36528 45660 54792 60880 68490 73056 91320 109584 121760 136980 182640 219168 273960 365280 547920 1095840