Search a number
-
+
2039211328 = 267111929751
BaseRepresentation
bin111100110001011…
…1110010101000000
312021010010200001111
41321202332111000
513134014230303
6534203213104
7101351003350
oct17142762500
95233120044
102039211328
11957099720
1248ab17194
13266625c2b
14154b84b60
15be05ab6d
hex798be540

2039211328 has 224 divisors, whose sum is σ = 5501030400. Its totient is φ = 725760000.

The previous prime is 2039211323. The next prime is 2039211331. The reversal of 2039211328 is 8231129302.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 2039211328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039211323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2714953 + ... + 2715703.

Almost surely, 22039211328 is an apocalyptic number.

2039211328 is a gapful number since it is divisible by the number (28) 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 2039211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750515200).

2039211328 is an abundant number, since it is smaller than the sum of its proper divisors (3461819072).

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

2039211328 is a wasteful number, since it uses less digits than its factorization.

2039211328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2039211328 is about 45157.6275727590. The cubic root of 2039211328 is about 1268.1016812514.

The spelling of 2039211328 in words is "two billion, thirty-nine million, two hundred eleven thousand, three hundred twenty-eight".