Search a number
-
+
2004141987 = 33835991493
BaseRepresentation
bin111011101110100…
…1100011110100011
312011200010221222000
41313131030132203
513101030020422
6530511415043
7100443632361
oct16735143643
95150127860
102004141987
119393165a1
1247b224483
1325c297743
14150256631
15bae2ecac
hex7774c7a3

2004141987 has 32 divisors (see below), whose sum is σ = 3011904000. Its totient is φ = 1316910816.

The previous prime is 2004141977. The next prime is 2004142001. The reversal of 2004141987 is 7891414002.

It is not a de Polignac number, because 2004141987 - 222 = 1999947683 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2004141977) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1341613 + ... + 1343105.

It is an arithmetic number, because the mean of its divisors is an integer number (94122000).

Almost surely, 22004141987 is an apocalyptic number.

2004141987 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2004141987 is a deficient number, since it is larger than the sum of its proper divisors (1007762013).

2004141987 is a wasteful number, since it uses less digits than its factorization.

2004141987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2004141987 is about 44767.6444209431. The cubic root of 2004141987 is about 1260.7902129287.

Adding to 2004141987 its reverse (7891414002), we get a palindrome (9895555989).

The spelling of 2004141987 in words is "two billion, four million, one hundred forty-one thousand, nine hundred eighty-seven".

Divisors: 1 3 9 27 83 249 599 747 1493 1797 2241 4479 5391 13437 16173 40311 49717 123919 149151 371757 447453 894307 1115271 1342359 2682921 3345813 8048763 24146289 74227481 222682443 668047329 2004141987