Search a number
-
+
1045080000 = 2632542903
BaseRepresentation
bin111110010010101…
…010011111000000
32200211111120020200
4332102222133000
54120020030000
6251411405200
734620014316
oct7622523700
92624446220
101045080000
11496a14088
12251bb3800
13138692043
149cb240b6
1561b38500
hex3e4aa7c0

1045080000 has 210 divisors, whose sum is σ = 3744507624. Its totient is φ = 278592000.

The previous prime is 1045079969. The next prime is 1045080007. The reversal of 1045080000 is 805401.

1045080000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045080007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 358549 + ... + 361451.

Almost surely, 21045080000 is an apocalyptic number.

1045080000 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 1045080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872253812).

1045080000 is an abundant number, since it is smaller than the sum of its proper divisors (2699427624).

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

1045080000 is an equidigital number, since it uses as much as digits as its factorization.

1045080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1045080000 is about 32327.6971032581. The cubic root of 1045080000 is about 1014.8063564841.

Adding to 1045080000 its reverse (805401), we get a palindrome (1045885401).

The spelling of 1045080000 in words is "one billion, forty-five million, eighty thousand".