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1006873312 = 25161319507
BaseRepresentation
bin111100000000111…
…010101011100000
32121011121110112011
4330000322223200
54030224421222
6243524442304
733644165464
oct7400725340
92534543464
101006873312
11477398905
12241249394
131307a5833
1497a1a4a4
155d5dcc77
hex3c03aae0

1006873312 has 24 divisors (see below), whose sum is σ = 1983612456. Its totient is φ = 503098752.

The previous prime is 1006873303. The next prime is 1006873313. The reversal of 1006873312 is 2133786001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006873313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41863 + ... + 61369.

It is an arithmetic number, because the mean of its divisors is an integer number (82650519).

Almost surely, 21006873312 is an apocalyptic number.

It is an amenable number.

1006873312 is a deficient number, since it is larger than the sum of its proper divisors (976739144).

1006873312 is a wasteful number, since it uses less digits than its factorization.

1006873312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21130 (or 21122 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 1006873312 is about 31731.2671035999. The cubic root of 1006873312 is about 1002.2858747950.

The spelling of 1006873312 in words is "one billion, six million, eight hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 1613 3226 6452 12904 19507 25808 39014 51616 78028 156056 312112 624224 31464791 62929582 125859164 251718328 503436656 1006873312