Search a number
-
+
1044981000 = 23345371997
BaseRepresentation
bin111110010010010…
…010010100001000
32200211022112110000
4332102102110020
54120003343000
6251405323000
734616122560
oct7622222410
92624275400
101044981000
11496956768
12251b66460
13138658c6b
149cad9da0
1561b19000
hex3e492508

1044981000 has 640 divisors, whose sum is σ = 4439635200. Its totient is φ = 223948800.

The previous prime is 1044980999. The next prime is 1044981017. The reversal of 1044981000 is 1894401.

It is a super-2 number, since 2×10449810002 = 2183970580722000000, which contains 22 as substring.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10772952 + ... + 10773048.

It is an arithmetic number, because the mean of its divisors is an integer number (6936930).

Almost surely, 21044981000 is an apocalyptic number.

1044981000 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 1044981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219817600).

1044981000 is an abundant number, since it is smaller than the sum of its proper divisors (3394654200).

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

1044981000 is a wasteful number, since it uses less digits than its factorization.

1044981000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1044981000 is about 32326.1658722466. The cubic root of 1044981000 is about 1014.7743114088.

The spelling of 1044981000 in words is "one billion, forty-four million, nine hundred eighty-one thousand".