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1095940 = 225371481
BaseRepresentation
bin100001011100100000100
32001200100101
410023210010
5240032230
635253444
712213106
oct4134404
92050311
101095940
1168943a
1244a284
132c4ab1
14207576
15169aca
hex10b904

1095940 has 24 divisors (see below), whose sum is σ = 2365272. Its totient is φ = 426240.

The previous prime is 1095931. The next prime is 1095947. The reversal of 1095940 is 495901.

1095940 = T321 + T322 + ... + T340.

1095940 is a nontrivial binomial coefficient, being equal to C(1481, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 264196 + 831744 = 514^2 + 912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1095899 and 1095908.

It is not an unprimeable number, because it can be changed into a prime (1095947) 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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 1480.

It is an arithmetic number, because the mean of its divisors is an integer number (98553).

21095940 is an apocalyptic number.

1095940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1095940 is the 1480-th triangular number.

1095940 is the 494-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1095940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182636).

1095940 is an abundant number, since it is smaller than the sum of its proper divisors (1269332).

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

1095940 is a wasteful number, since it uses less digits than its factorization.

1095940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 1095940 is about 1046.8715298450. The cubic root of 1095940 is about 103.1008532384.

The spelling of 1095940 in words is "one million, ninety-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1481 2962 5924 7405 14810 29620 54797 109594 219188 273985 547970 1095940