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1006705070 = 25718677703
BaseRepresentation
bin111100000000010…
…001100110101110
32121011021220201222
4330000101212232
54030204030240
6243521103342
733642565130
oct7400214656
92534256658
101006705070
11477293468
12241187b52
13130747097
14979b5050
155d5a7eb5
hex3c0119ae

1006705070 has 32 divisors (see below), whose sum is σ = 2072314368. Its totient is φ = 344926368.

The previous prime is 1006705069. The next prime is 1006705087. The reversal of 1006705070 is 705076001.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 126839 + ... + 134541.

It is an arithmetic number, because the mean of its divisors is an integer number (64759824).

Almost surely, 21006705070 is an apocalyptic number.

1006705070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006705070 is an abundant number, since it is smaller than the sum of its proper divisors (1065609298).

1006705070 is a wasteful number, since it uses less digits than its factorization.

1006705070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9584.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 1006705070 is about 31728.6159483833. The cubic root of 1006705070 is about 1002.2300465291.

The spelling of 1006705070 in words is "one billion, six million, seven hundred five thousand, seventy".

Divisors: 1 2 5 7 10 14 35 70 1867 3734 7703 9335 13069 15406 18670 26138 38515 53921 65345 77030 107842 130690 269605 539210 14381501 28763002 71907505 100670507 143815010 201341014 503352535 1006705070