Search a number
-
+
2001323120 = 245197912641
BaseRepresentation
bin111011101001001…
…1100010001110000
312011110211202012112
41313102130101300
513044314314440
6530331144452
7100410652166
oct16722342160
95143752175
102001323120
11937770755
1247a2a5128
1325b81b684
1414db21236
15baa74965
hex7749c470

2001323120 has 40 divisors (see below), whose sum is σ = 4655795760. Its totient is φ = 800061440.

The previous prime is 2001323087. The next prime is 2001323123. The reversal of 2001323120 is 213231002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2001323095 and 2001323104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001323123) 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, 152000 + ... + 164640.

It is an arithmetic number, because the mean of its divisors is an integer number (116394894).

Almost surely, 22001323120 is an apocalyptic number.

2001323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001323120 is an abundant number, since it is smaller than the sum of its proper divisors (2654472640).

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

2001323120 is a wasteful number, since it uses less digits than its factorization.

2001323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14633 (or 14627 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2001323120 is about 44736.1500355138. The cubic root of 2001323120 is about 1260.1988264385.

Adding to 2001323120 its reverse (213231002), we get a palindrome (2214554122).

The spelling of 2001323120 in words is "two billion, one million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1979 3958 7916 9895 12641 15832 19790 25282 31664 39580 50564 63205 79160 101128 126410 158320 202256 252820 505640 1011280 25016539 50033078 100066156 125082695 200132312 250165390 400264624 500330780 1000661560 2001323120