Search a number
-
+
2003667020 = 2253110730203
BaseRepresentation
bin111011101101101…
…1000100001001100
312011122020211102122
41313123120201030
513100414321040
6530453312112
7100436613545
oct16733304114
95148224378
102003667020
11939021763
1247b035638
1325c15c4b4
141501714cc
15bad891b5
hex776d884c

2003667020 has 48 divisors (see below), whose sum is σ = 4384171008. Its totient is φ = 768338880.

The previous prime is 2003666969. The next prime is 2003667047. The reversal of 2003667020 is 207663002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51239 + ... + 81441.

It is an arithmetic number, because the mean of its divisors is an integer number (91336896).

Almost surely, 22003667020 is an apocalyptic number.

2003667020 is a gapful number since it is divisible by the number (20) 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 2003667020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192085504).

2003667020 is an abundant number, since it is smaller than the sum of its proper divisors (2380503988).

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

2003667020 is a wasteful number, since it uses less digits than its factorization.

2003667020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30350 (or 30348 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 2003667020 is about 44762.3393043751. The cubic root of 2003667020 is about 1260.6906057050.

The spelling of 2003667020 in words is "two billion, three million, six hundred sixty-seven thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 107 124 155 214 310 428 535 620 1070 2140 3317 6634 13268 16585 30203 33170 60406 66340 120812 151015 302030 604060 936293 1872586 3231721 3745172 4681465 6463442 9362930 12926884 16158605 18725860 32317210 64634420 100183351 200366702 400733404 500916755 1001833510 2003667020