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1006545642 = 232325129059
BaseRepresentation
bin111011111111101…
…010101011101010
32121010222211001020
4323333222223222
54030133430032
6243513433310
733641332254
oct7377525352
92533884036
101006545642
11477194703
1224110b836
131306bc64b
1497972cd4
155d575b2c
hex3bfeaaea

1006545642 has 32 divisors (see below), whose sum is σ = 2109058560. Its totient is φ = 319638000.

The previous prime is 1006545611. The next prime is 1006545649. The reversal of 1006545642 is 2465456001.

It is not an unprimeable number, because it can be changed into a prime (1006545649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20109 + ... + 49167.

It is an arithmetic number, because the mean of its divisors is an integer number (65908080).

Almost surely, 21006545642 is an apocalyptic number.

1006545642 is an abundant number, since it is smaller than the sum of its proper divisors (1102512918).

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

1006545642 is a wasteful number, since it uses less digits than its factorization.

1006545642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29338.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1006545642 is about 31726.1034796270. The cubic root of 1006545642 is about 1002.1771373000.

The spelling of 1006545642 in words is "one billion, six million, five hundred forty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 23 46 69 138 251 502 753 1506 5773 11546 17319 29059 34638 58118 87177 174354 668357 1336714 2005071 4010142 7293809 14587618 21881427 43762854 167757607 335515214 503272821 1006545642