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1045231040 = 26571941599
BaseRepresentation
bin111110010011001…
…111010111000000
32200211210020102202
4332103033113000
54120034343130
6251414532332
734621213550
oct7623172700
92624706382
101045231040
11497007607
122520670a8
13138715a09
149cb63160
1561b68145
hex3e4cf5c0

1045231040 has 224 divisors, whose sum is σ = 3072384000. Its totient is φ = 330670080.

The previous prime is 1045231037. The next prime is 1045231049. The reversal of 1045231040 is 401325401.

1045231040 = T7120 + T7121 + ... + T7160.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045231049) 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, 1744661 + ... + 1745259.

It is an arithmetic number, because the mean of its divisors is an integer number (13716000).

Almost surely, 21045231040 is an apocalyptic number.

1045231040 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 1045231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192000).

1045231040 is an abundant number, since it is smaller than the sum of its proper divisors (2027152960).

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

1045231040 is a wasteful number, since it uses less digits than its factorization.

1045231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1045231040 is about 32330.0330961785. The cubic root of 1045231040 is about 1014.8552423648.

Adding to 1045231040 its reverse (401325401), we get a palindrome (1446556441).

The spelling of 1045231040 in words is "one billion, forty-five million, two hundred thirty-one thousand, forty".