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1095120 = 24345132
BaseRepresentation
bin100001011010111010000
32001122020000
410023113100
5240020440
635250000
712210525
oct4132720
92048200
101095120
11688864
12449900
132c4600
1420714c
15169730
hex10b5d0

1095120 has 150 divisors (see below), whose sum is σ = 4118598. Its totient is φ = 269568.

The previous prime is 1095119. The next prime is 1095161. The reversal of 1095120 is 215901.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 1089936 = 72^2 + 1044^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 1095093 and 1095102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 84234 + ... + 84246.

21095120 is an apocalyptic number.

1095120 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 1095120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059299).

1095120 is an abundant number, since it is smaller than the sum of its proper divisors (3023478).

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

1095120 is a wasteful number, since it uses less digits than its factorization.

1095120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1095120 is about 1046.4798134699. The cubic root of 1095120 is about 103.0751329150.

The spelling of 1095120 in words is "one million, ninety-five thousand, one hundred twenty".