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2006590208 = 2872574357
BaseRepresentation
bin111011110011010…
…0010001100000000
312011211202100021212
41313212202030000
513102141341313
6531040105252
7100503510140
oct16746421400
95154670255
102006590208
1193a738a17
12480005228
1325c943bac
141506d2920
15bb2653a8
hex779a2300

2006590208 has 72 divisors (see below), whose sum is σ = 4596400032. Its totient is φ = 856424448.

The previous prime is 2006590199. The next prime is 2006590213. The reversal of 2006590208 is 8020956002.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 458366 + ... + 462722.

Almost surely, 22006590208 is an apocalyptic number.

2006590208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006590208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298200016).

2006590208 is an abundant number, since it is smaller than the sum of its proper divisors (2589809824).

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

2006590208 is an equidigital number, since it uses as much as digits as its factorization.

2006590208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2006590208 is about 44794.9797187140. The cubic root of 2006590208 is about 1261.3033896508.

The spelling of 2006590208 in words is "two billion, six million, five hundred ninety thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 257 448 514 896 1028 1792 1799 2056 3598 4112 4357 7196 8224 8714 14392 16448 17428 28784 30499 32896 34856 57568 60998 65792 69712 115136 121996 139424 230272 243992 278848 460544 487984 557696 975968 1115392 1119749 1951936 2239498 3903872 4478996 7807744 7838243 8957992 15676486 17915984 31352972 35831968 62705944 71663936 125411888 143327872 250823776 286655744 501647552 1003295104 2006590208