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1006468126 = 28346712983
BaseRepresentation
bin111011111111010…
…111110000011110
32121010211212201021
4323333113300132
54030123440001
6243512034354
733640560256
oct7377276036
92533755637
101006468126
11477141444
122410929ba
13130693291
1497952966
155d55cba1
hex3bfd7c1e

1006468126 has 16 divisors (see below), whose sum is σ = 1531281024. Its totient is φ = 496068184.

The previous prime is 1006468121. The next prime is 1006468129. The reversal of 1006468126 is 6218646001.

It is a junction number, because it is equal to n+sod(n) for n = 1006468091 and 1006468100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006468121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71031 + ... + 84013.

It is an arithmetic number, because the mean of its divisors is an integer number (95705064).

Almost surely, 21006468126 is an apocalyptic number.

1006468126 is a deficient number, since it is larger than the sum of its proper divisors (524812898).

1006468126 is a wasteful number, since it uses less digits than its factorization.

1006468126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13535.

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1006468126 is about 31724.8818122306. The cubic root of 1006468126 is about 1002.1514101152.

The spelling of 1006468126 in words is "one billion, six million, four hundred sixty-eight thousand, one hundred twenty-six".

Divisors: 1 2 83 166 467 934 12983 25966 38761 77522 1077589 2155178 6063061 12126122 503234063 1006468126