Search a number
-
+
2031040968 = 2331134722171
BaseRepresentation
bin111100100001111…
…0011100111001000
312020112202120102120
41321003303213020
513124421302333
6533312131240
7101221364145
oct17103634710
95215676376
102031040968
11952519160
12488236b20
13264a250b8
14153a593cc
15bd494db3
hex790f39c8

2031040968 has 64 divisors (see below), whose sum is σ = 5555416320. Its totient is φ = 613665600.

The previous prime is 2031040943. The next prime is 2031040969. The reversal of 2031040968 is 8690401302.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2031040969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80523 + ... + 102693.

It is an arithmetic number, because the mean of its divisors is an integer number (86803380).

Almost surely, 22031040968 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 2031040968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777708160).

2031040968 is an abundant number, since it is smaller than the sum of its proper divisors (3524375352).

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

2031040968 is a wasteful number, since it uses less digits than its factorization.

2031040968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22538 (or 22534 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2031040968 is about 45067.0718818075. The cubic root of 2031040968 is about 1266.4058106723.

The spelling of 2031040968 in words is "two billion, thirty-one million, forty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 347 694 1041 1388 2082 2776 3817 4164 7634 8328 11451 15268 22171 22902 30536 44342 45804 66513 88684 91608 133026 177368 243881 266052 487762 532104 731643 975524 1463286 1951048 2926572 5853144 7693337 15386674 23080011 30773348 46160022 61546696 84626707 92320044 169253414 184640088 253880121 338506828 507760242 677013656 1015520484 2031040968