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1042000 = 2453521
BaseRepresentation
bin11111110011001010000
31221221100121
43332121100
5231321000
634200024
711566621
oct3763120
91857317
101042000
11651963
12423014
132a638b
141d1a48
15158b1a
hexfe650

1042000 has 40 divisors (see below), whose sum is σ = 2524392. Its totient is φ = 416000.

The previous prime is 1041991. The next prime is 1042001. The reversal of 1042000 is 2401.

It can be written as a sum of positive squares in 4 ways, for example, as 104976 + 937024 = 324^2 + 968^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1740 + ... + 2260.

21042000 is an apocalyptic number.

1042000 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 1042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262196).

1042000 is an abundant number, since it is smaller than the sum of its proper divisors (1482392).

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

1042000 is an equidigital number, since it uses as much as digits as its factorization.

1042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 1042000 is about 1020.7840124140. The cubic root of 1042000 is about 101.3808449099.

Adding to 1042000 its reverse (2401), we get a palindrome (1044401).

The spelling of 1042000 in words is "one million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 521 1000 1042 2000 2084 2605 4168 5210 8336 10420 13025 20840 26050 41680 52100 65125 104200 130250 208400 260500 521000 1042000