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1005531140 = 22550276557
BaseRepresentation
bin111011111011110…
…011000000000100
32121002002021102002
4323323303000010
54024403444030
6243440004432
733626605445
oct7373630004
92532067362
101005531140
11476661479
12240900718
13130425953
149778b2cc
155d425245
hex3bef3004

1005531140 has 12 divisors (see below), whose sum is σ = 2111615436. Its totient is φ = 402212448.

The previous prime is 1005531101. The next prime is 1005531193. The reversal of 1005531140 is 411355001.

1005531140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 311946244 + 693584896 = 17662^2 + 26336^2 .

It is a super-2 number, since 2×10055311402 = 2022185747019399200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 50276557 = 1005531140 / (1 + 0 + 0 + 5 + 5 + 3 + 1 + 1 + 4 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25138259 + ... + 25138298.

It is an arithmetic number, because the mean of its divisors is an integer number (175967953).

Almost surely, 21005531140 is an apocalyptic number.

1005531140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005531140 is an abundant number, since it is smaller than the sum of its proper divisors (1106084296).

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

1005531140 is a wasteful number, since it uses less digits than its factorization.

1005531140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50276566 (or 50276564 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1005531140 is about 31710.1110057975. Note that the first 3 decimals coincide. The cubic root of 1005531140 is about 1001.8403244616.

Adding to 1005531140 its reverse (411355001), we get a palindrome (1416886141).

The spelling of 1005531140 in words is "one billion, five million, five hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 50276557 100553114 201106228 251382785 502765570 1005531140