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1040005000 = 2354208001
BaseRepresentation
bin111101111111010…
…011011110001000
32200110221201122201
4331333103132020
54112220130000
6251110525544
734525616356
oct7577233610
92613851581
101040005000
11494068171
122503668b4
13137606098
149c1a27d6
156148496a
hex3dfd3788

1040005000 has 40 divisors (see below), whose sum is σ = 2436743430. Its totient is φ = 416000000.

The previous prime is 1040004983. The next prime is 1040005003. The reversal of 1040005000 is 5000401.

It can be written as a sum of positive squares in 5 ways, for example, as 106213636 + 933791364 = 10306^2 + 30558^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10400050002 = 2163220800050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1040005003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 99001 + ... + 109000.

Almost surely, 21040005000 is an apocalyptic number.

1040005000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040005000 is an abundant number, since it is smaller than the sum of its proper divisors (1396738430).

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

1040005000 is an equidigital number, since it uses as much as digits as its factorization.

1040005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208027 (or 208008 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1040005000 is about 32249.1085148101. The cubic root of 1040005000 is about 1013.1610274705.

Adding to 1040005000 its reverse (5000401), we get a palindrome (1045005401).

The spelling of 1040005000 in words is "one billion, forty million, five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 208001 416002 832004 1040005 1664008 2080010 4160020 5200025 8320040 10400050 20800100 26000125 41600200 52000250 104000500 130000625 208001000 260001250 520002500 1040005000