Search a number
-
+
2040946752 = 263132312029
BaseRepresentation
bin111100110100110…
…0110000001000000
312021020101211121110
41321221212001000
513134440244002
6534304323320
7101401522035
oct17151460100
95236354543
102040946752
11958074559
1248b613540
13266ab2b00
141550b738c
15be29ee6c
hex79a66040

2040946752 has 168 divisors, whose sum is σ = 6038941440. Its totient is φ = 607426560.

The previous prime is 2040946681. The next prime is 2040946793. The reversal of 2040946752 is 2576490402.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2040946752.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1004874 + ... + 1006902.

It is an arithmetic number, because the mean of its divisors is an integer number (35946080).

Almost surely, 22040946752 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 2040946752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019470720).

2040946752 is an abundant number, since it is smaller than the sum of its proper divisors (3997994688).

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

2040946752 is a wasteful number, since it uses less digits than its factorization.

2040946752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2040946752 is about 45176.8386676182. The cubic root of 2040946752 is about 1268.4613088639.

It can be divided in two parts, 20409 and 46752, that added together give a triangular number (67161 = T366).

The spelling of 2040946752 in words is "two billion, forty million, nine hundred forty-six thousand, seven hundred fifty-two".