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2006161072 = 242915727539
BaseRepresentation
bin111011110010011…
…1001011010110000
312011210221112121221
41313210321122300
513102034123242
6531022554424
7100500042046
oct16744713260
95153845557
102006161072
1193a475563
1247ba38a14
1325c823776
14150620396
15bb1cd167
hex779396b0

2006161072 has 40 divisors (see below), whose sum is σ = 4046727600. Its totient is φ = 962287872.

The previous prime is 2006161067. The next prime is 2006161121. The reversal of 2006161072 is 2701616002.

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 7 ways as a sum of consecutive naturals, for example, 59079 + ... + 86617.

It is an arithmetic number, because the mean of its divisors is an integer number (101168190).

Almost surely, 22006161072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006161072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023363800).

2006161072 is an abundant number, since it is smaller than the sum of its proper divisors (2040566528).

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

2006161072 is a wasteful number, since it uses less digits than its factorization.

2006161072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27733 (or 27727 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 2006161072 is about 44790.1894615328. The cubic root of 2006161072 is about 1261.2134677392.

Adding to 2006161072 its reverse (2701616002), we get a palindrome (4707777074).

The spelling of 2006161072 in words is "two billion, six million, one hundred sixty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 29 58 116 157 232 314 464 628 1256 2512 4553 9106 18212 27539 36424 55078 72848 110156 220312 440624 798631 1597262 3194524 4323623 6389048 8647246 12778096 17294492 34588984 69177968 125385067 250770134 501540268 1003080536 2006161072