Search a number
-
+
2002013296 = 241742117483
BaseRepresentation
bin111011101010100…
…0100110001110000
312011112010210221121
41313111010301300
513100003411141
6530354032024
7100416555313
oct16725046160
95145123847
102002013296
119380a2248
1247a578614
1325ba0086a
1414dc6097a
15bab5e1d1
hex77544c70

2002013296 has 40 divisors (see below), whose sum is σ = 4117062384. Its totient is φ = 939832320.

The previous prime is 2002013291. The next prime is 2002013297. The reversal of 2002013296 is 6923102002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2002013296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002013291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105771 + ... + 123253.

Almost surely, 22002013296 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 2002013296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058531192).

2002013296 is an abundant number, since it is smaller than the sum of its proper divisors (2115049088).

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

2002013296 is a wasteful number, since it uses less digits than its factorization.

2002013296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17929 (or 17923 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 2002013296 is about 44743.8632216754. The cubic root of 2002013296 is about 1260.3436737838.

Adding to 2002013296 its reverse (6923102002), we get a palindrome (8925115298).

The spelling of 2002013296 in words is "two billion, two million, thirteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 421 842 1684 3368 6736 7157 14314 17483 28628 34966 57256 69932 114512 139864 279728 297211 594422 1188844 2377688 4755376 7360343 14720686 29441372 58882744 117765488 125125831 250251662 500503324 1001006648 2002013296