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2008690146 = 2321937915497
BaseRepresentation
bin111011110111010…
…0010110111100010
312011222201000212100
41313232202313202
513103211041041
6531153111230
7100530404331
oct16756426742
95158630770
102008690146
11940942701
12480858516
132601ca968
14150abbd18
15bb52c6b6
hex77ba2de2

2008690146 has 48 divisors (see below), whose sum is σ = 4593607200. Its totient is φ = 632608704.

The previous prime is 2008690111. The next prime is 2008690157. The reversal of 2008690146 is 6410968002.

It is a super-2 number, since 2×20086901462 = 8069672205275002632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2008690146.

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 23 ways as a sum of consecutive naturals, for example, 121870 + ... + 137366.

It is an arithmetic number, because the mean of its divisors is an integer number (95700150).

Almost surely, 22008690146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008690146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296803600).

2008690146 is an abundant number, since it is smaller than the sum of its proper divisors (2584917054).

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

2008690146 is a wasteful number, since it uses less digits than its factorization.

2008690146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15903 (or 15900 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2008690146 is about 44818.4130241132. The cubic root of 2008690146 is about 1261.7432295817.

The spelling of 2008690146 in words is "two billion, eight million, six hundred ninety thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 379 758 1137 2274 3411 6822 7201 14402 15497 21603 30994 43206 46491 64809 92982 129618 139473 278946 294443 588886 883329 1766658 2649987 5299974 5873363 11746726 17620089 35240178 52860267 105720534 111593897 223187794 334781691 669563382 1004345073 2008690146