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1005000096 = 253101103651
BaseRepresentation
bin111011111001110…
…001010110100000
32121001002021221210
4323321301112200
54024240000341
6243420350120
733622234302
oct7371612640
92531067853
101005000096
114763294a1
122406a5340
1313029b019
149768d972
155d36cc16
hex3be715a0

1005000096 has 48 divisors (see below), whose sum is σ = 2664271008. Its totient is φ = 331680000.

The previous prime is 1005000091. The next prime is 1005000103. The reversal of 1005000096 is 6900005001.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1005000091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42130 + ... + 61521.

It is an arithmetic number, because the mean of its divisors is an integer number (55505646).

Almost surely, 21005000096 is an apocalyptic number.

1005000096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1005000096 is an abundant number, since it is smaller than the sum of its proper divisors (1659270912).

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

1005000096 is a wasteful number, since it uses less digits than its factorization.

1005000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103765 (or 103757 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1005000096 is about 31701.7364824074. The cubic root of 1005000096 is about 1001.6639284731.

Adding to 1005000096 its reverse (6900005001), we get a palindrome (7905005097).

The spelling of 1005000096 in words is "one billion, five million, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 103651 207302 310953 414604 621906 829208 1243812 1658416 2487624 3316832 4975248 9950496 10468751 20937502 31406253 41875004 62812506 83750008 125625012 167500016 251250024 335000032 502500048 1005000096