Search a number
-
+
1045359000 = 23335375531
BaseRepresentation
bin111110010011101…
…110100110011000
32200212000201222000
4332103232212120
54120102442000
6251421401000
734622255610
oct7623564630
92625021860
101045359000
11497094764
12252109160
1313875c02a
149cb97a40
1561b91000
hex3e4ee998

1045359000 has 256 divisors, whose sum is σ = 4142361600. Its totient is φ = 238896000.

The previous prime is 1045358999. The next prime is 1045359041. The reversal of 1045359000 is 9535401.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186235 + ... + 191765.

It is an arithmetic number, because the mean of its divisors is an integer number (16181100).

Almost surely, 21045359000 is an apocalyptic number.

1045359000 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 1045359000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071180800).

1045359000 is an abundant number, since it is smaller than the sum of its proper divisors (3097002600).

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

1045359000 is a wasteful number, since it uses less digits than its factorization.

1045359000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1045359000 is about 32332.0120004926. The cubic root of 1045359000 is about 1014.8966544459.

The spelling of 1045359000 in words is "one billion, forty-five million, three hundred fifty-nine thousand".