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1049000 = 23531049
BaseRepresentation
bin100000000000110101000
31222021221212
410000012220
5232032000
634252252
711626211
oct4000650
91867855
101049000
11657147
12427088
132a9614
141d4408
1515ac35
hex1001a8

1049000 has 32 divisors (see below), whose sum is σ = 2457000. Its totient is φ = 419200.

The previous prime is 1048991. The next prime is 1049011. The reversal of 1049000 is 9401.

It can be written as a sum of positive squares in 4 ways, for example, as 550564 + 498436 = 742^2 + 706^2 .

It is a super-2 number, since 2×10490002 = 2200802000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476 + ... + 1524.

21049000 is an apocalyptic number.

1049000 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 1049000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228500).

1049000 is an abundant number, since it is smaller than the sum of its proper divisors (1408000).

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

1049000 is a wasteful number, since it uses less digits than its factorization.

1049000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1049000 is about 1024.2070103255. The cubic root of 1049000 is about 101.6073588817.

It can be divided in two parts, 10 and 49000, that multiplied together give a square (490000 = 7002).

The spelling of 1049000 in words is "one million, forty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1049 2098 4196 5245 8392 10490 20980 26225 41960 52450 104900 131125 209800 262250 524500 1049000