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1049085 = 33519409
BaseRepresentation
bin100000000000111111101
31222022002000
410000013331
5232032320
634252513
711626362
oct4000775
91868060
101049085
11657214
12427139
132a967b
141d4469
1515ac90
hex1001fd

1049085 has 32 divisors (see below), whose sum is σ = 1968000. Its totient is φ = 528768.

The previous prime is 1049077. The next prime is 1049089. The reversal of 1049085 is 5809401.

It is not a de Polignac number, because 1049085 - 23 = 1049077 is a prime.

It is a super-2 number, since 2×10490852 = 2201158674450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

1049085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2361 + ... + 2769.

It is an arithmetic number, because the mean of its divisors is an integer number (61500).

21049085 is an apocalyptic number.

1049085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1049085 is a deficient number, since it is larger than the sum of its proper divisors (918915).

1049085 is a wasteful number, since it uses less digits than its factorization.

1049085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

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

The square root of 1049085 is about 1024.2485050026. The cubic root of 1049085 is about 101.6101032072.

Adding to 1049085 its product of nonzero digits (1440), we get a triangular number (1050525 = T1449).

The spelling of 1049085 in words is "one million, forty-nine thousand, eighty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 409 513 855 1227 2045 2565 3681 6135 7771 11043 18405 23313 38855 55215 69939 116565 209817 349695 1049085