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1005315332 = 227172112007
BaseRepresentation
bin111011111010111…
…110010100000100
32121001200022101012
4323322332110010
54024330042312
6243431221352
733625016330
oct7372762404
92531608335
101005315332
1147652431a
12240817858
1313037b658
14977327c0
155d3d1322
hex3bebe504

1005315332 has 24 divisors (see below), whose sum is σ = 2128904064. Its totient is φ = 405505152.

The previous prime is 1005315323. The next prime is 1005315347. The reversal of 1005315332 is 2335135001.

It is a junction number, because it is equal to n+sod(n) for n = 1005315298 and 1005315307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055528 + ... + 1056479.

It is an arithmetic number, because the mean of its divisors is an integer number (88704336).

Almost surely, 21005315332 is an apocalyptic number.

It is an amenable number.

1005315332 is an abundant number, since it is smaller than the sum of its proper divisors (1123588732).

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

1005315332 is a wasteful number, since it uses less digits than its factorization.

1005315332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112035 (or 2112033 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 1005315332 is about 31706.7079968892. The cubic root of 1005315332 is about 1001.7686473756.

The spelling of 1005315332 in words is "one billion, five million, three hundred fifteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 2112007 4224014 8448028 14784049 29568098 35904119 59136196 71808238 143616476 251328833 502657666 1005315332