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1093440000 = 293541767
BaseRepresentation
bin100000100101100…
…1001001000000000
32211012111111200210
41001023021020000
54214410040000
6300300114120
736045041502
oct10113111000
92735444623
101093440000
11511244724
12266235940
131456c4b23
14a5311d72
1565edc350
hex412c9200

1093440000 has 400 divisors, whose sum is σ = 3911722848. Its totient is φ = 270336000.

The previous prime is 1093439999. The next prime is 1093440001. The reversal of 1093440000 is 443901.

It is an interprime number because it is at equal distance from previous prime (1093439999) and next prime (1093440001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×10934400002 = 2391222067200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1093440001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16319967 + ... + 16320033.

Almost surely, 21093440000 is an apocalyptic number.

1093440000 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 1093440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955861424).

1093440000 is an abundant number, since it is smaller than the sum of its proper divisors (2818282848).

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

1093440000 is an frugal number, since it uses more digits than its factorization.

1093440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1093440000 is about 33067.2042967046. The cubic root of 1093440000 is about 1030.2239749206.

Adding to 1093440000 its reverse (443901), we get a palindrome (1093883901).

The spelling of 1093440000 in words is "one billion, ninety-three million, four hundred forty thousand".