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1006160147 = 1724996977
BaseRepresentation
bin111011111110001…
…100100100010011
32121010021020020122
4323332030210103
54030034111042
6243501300455
733635135336
oct7376144423
92533236218
101006160147
11476a51013
12240b6472b
131305b6045
14978b261d
155d4eb7d2
hex3bf8c913

1006160147 has 12 divisors (see below), whose sum is σ = 1071123000. Its totient is φ = 944941056.

The previous prime is 1006160123. The next prime is 1006160153. The reversal of 1006160147 is 7410616001.

It is not a de Polignac number, because 1006160147 - 212 = 1006156051 is a prime.

It is a super-2 number, since 2×10061601472 = 2024716482822123218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006160107) 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 11 ways as a sum of consecutive naturals, for example, 140723 + ... + 147699.

It is an arithmetic number, because the mean of its divisors is an integer number (89260250).

Almost surely, 21006160147 is an apocalyptic number.

1006160147 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1006160147 is a deficient number, since it is larger than the sum of its proper divisors (64962853).

1006160147 is an equidigital number, since it uses as much as digits as its factorization.

1006160147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510 (or 7493 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1006160147 is about 31720.0275378191. The cubic root of 1006160147 is about 1002.0491803251.

Adding to 1006160147 its reverse (7410616001), we get a palindrome (8416776148).

The spelling of 1006160147 in words is "one billion, six million, one hundred sixty thousand, one hundred forty-seven".

Divisors: 1 17 289 499 6977 8483 118609 144211 2016353 3481523 59185891 1006160147