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1006027345 = 53118713469
BaseRepresentation
bin111011111101101…
…100001001010001
32121010000111002001
4323331230021101
54030020333340
6243454354001
733634043221
oct7375541121
92533014061
101006027345
11476970264
12240abb901
1313056a76b
149787a081
155d4c229a
hex3bf6c251

1006027345 has 16 divisors (see below), whose sum is σ = 1247201280. Its totient is φ = 778219200.

The previous prime is 1006027331. The next prime is 1006027357. The reversal of 1006027345 is 5437206001.

It is not a de Polignac number, because 1006027345 - 211 = 1006025297 is a prime.

It is an unprimeable number.

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, 288271 + ... + 291739.

It is an arithmetic number, because the mean of its divisors is an integer number (77950080).

Almost surely, 21006027345 is an apocalyptic number.

It is an amenable number.

1006027345 is a deficient number, since it is larger than the sum of its proper divisors (241173935).

1006027345 is a wasteful number, since it uses less digits than its factorization.

1006027345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 1006027345 is about 31717.9341225118. The cubic root of 1006027345 is about 1002.0050919193.

The spelling of 1006027345 in words is "one billion, six million, twenty-seven thousand, three hundred forty-five".

Divisors: 1 5 31 155 1871 3469 9355 17345 58001 107539 290005 537695 6490499 32452495 201205469 1006027345