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1075780 = 225192149
BaseRepresentation
bin100000110101001000100
32000122200201
410012221010
5233411110
635020244
712100246
oct4065104
92018621
101075780
11675282
1243a684
132b8874
14200096
15163b3a
hex106a44

1075780 has 36 divisors (see below), whose sum is σ = 2400300. Its totient is φ = 404928.

The previous prime is 1075771. The next prime is 1075787. The reversal of 1075780 is 875701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 244036 + 831744 = 494^2 + 912^2 .

It is not an unprimeable number, because it can be changed into a prime (1075787) 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, 7146 + ... + 7294.

It is an arithmetic number, because the mean of its divisors is an integer number (66675).

21075780 is an apocalyptic number.

1075780 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 1075780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200150).

1075780 is an abundant number, since it is smaller than the sum of its proper divisors (1324520).

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

1075780 is a wasteful number, since it uses less digits than its factorization.

1075780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 1075780 is about 1037.1981488607. The cubic root of 1075780 is about 102.4647509173.

The spelling of 1075780 in words is "one million, seventy-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 149 190 298 361 380 596 722 745 1444 1490 1805 2831 2980 3610 5662 7220 11324 14155 28310 53789 56620 107578 215156 268945 537890 1075780