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2006924164 = 22726722281
BaseRepresentation
bin111011110011111…
…0011101110000100
312011212101022101121
41313213303232010
513102233033124
6531051203324
7100506400600
oct16747635604
95155338347
102006924164
1193a946913
12480146544
1325ca2cbbb
1415077c500
15bb2ce2e4
hex779f3b84

2006924164 has 54 divisors (see below), whose sum is σ = 4149230526. Its totient is φ = 846901440.

The previous prime is 2006924131. The next prime is 2006924189. The reversal of 2006924164 is 4614296002.

It can be written as a sum of positive squares in only one way, i.e., 1781684100 + 225240064 = 42210^2 + 15008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 878704 + ... + 880984.

Almost surely, 22006924164 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 2006924164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074615263).

2006924164 is an abundant number, since it is smaller than the sum of its proper divisors (2142306362).

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

2006924164 is a wasteful number, since it uses less digits than its factorization.

2006924164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 2006924164 is about 44798.7071688458. The cubic root of 2006924164 is about 1261.3733585077.

The spelling of 2006924164 in words is "two billion, six million, nine hundred twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 469 938 1876 2281 3283 4489 4562 6566 8978 9124 13132 15967 17956 31423 31934 62846 63868 111769 125692 152827 219961 223538 305654 439922 447076 611308 879844 1069789 2139578 4279156 7488523 10239409 14977046 20478818 29954092 40957636 71675863 143351726 286703452 501731041 1003462082 2006924164