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1004136146 = 213222912973
BaseRepresentation
bin111011110110011…
…110011011010010
32120222110101211122
4323312132123102
54024024324041
6243350042242
733612005426
oct7366363322
92528411748
101004136146
11475899392
12240349382
13130057a00
1497506b86
155d24bc4b
hex3bd9e6d2

1004136146 has 24 divisors (see below), whose sum is σ = 1638226980. Its totient is φ = 461388096.

The previous prime is 1004136137. The next prime is 1004136151. The reversal of 1004136146 is 6416314001.

It can be written as a sum of positive squares in 6 ways, for example, as 83923921 + 920212225 = 9161^2 + 30335^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 70916 + ... + 83888.

Almost surely, 21004136146 is an apocalyptic number.

1004136146 is a deficient number, since it is larger than the sum of its proper divisors (634090834).

1004136146 is a wasteful number, since it uses less digits than its factorization.

1004136146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13230 (or 13217 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1004136146 is about 31688.1073275133. The cubic root of 1004136146 is about 1001.3768188333.

The spelling of 1004136146 in words is "one billion, four million, one hundred thirty-six thousand, one hundred forty-six".

Divisors: 1 2 13 26 169 229 338 458 2977 5954 12973 25946 38701 77402 168649 337298 2192437 2970817 4384874 5941634 38620621 77241242 502068073 1004136146