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1006828703 = 23436531559
BaseRepresentation
bin111100000000101…
…111110010011111
32121011112012022222
4330000233302133
54030222004303
6243523455555
733643621436
oct7400576237
92534465288
101006828703
11477368341
122412275bb
1313078b43a
1497a0811d
155d5ce938
hex3c02fc9f

1006828703 has 16 divisors (see below), whose sum is σ = 1077373440. Its totient is φ = 938613984.

The previous prime is 1006828679. The next prime is 1006828709. The reversal of 1006828703 is 3078286001.

It is a cyclic number.

It is not a de Polignac number, because 1006828703 - 216 = 1006763167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006828709) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 645038 + ... + 646596.

It is an arithmetic number, because the mean of its divisors is an integer number (67335840).

Almost surely, 21006828703 is an apocalyptic number.

1006828703 is a deficient number, since it is larger than the sum of its proper divisors (70544737).

1006828703 is a wasteful number, since it uses less digits than its factorization.

1006828703 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 1006828703 is about 31730.5641771463. The cubic root of 1006828703 is about 1002.2710726578.

The spelling of 1006828703 in words is "one billion, six million, eight hundred twenty-eight thousand, seven hundred three".

Divisors: 1 23 43 653 989 1559 15019 28079 35857 67037 645817 1018027 1541851 23414621 43775161 1006828703