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2128158720 = 21332523251
BaseRepresentation
bin111111011011001…
…0010000000000000
312111022111122221100
41332312102000000
513324302034340
6551101454400
7103511023242
oct17666220000
95438448840
102128158720
119a2321166
124b4871400
1327bb99a1c
141628da092
15c6c7a830
hex7ed92000

2128158720 has 336 divisors, whose sum is σ = 7728581952. Its totient is φ = 540672000.

The previous prime is 2128158689. The next prime is 2128158737. The reversal of 2128158720 is 278518212.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8478595 + ... + 8478845.

It is an arithmetic number, because the mean of its divisors is an integer number (23001732).

Almost surely, 22128158720 is an apocalyptic number.

2128158720 is a gapful number since it is divisible by the number (20) 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 2128158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864290976).

2128158720 is an abundant number, since it is smaller than the sum of its proper divisors (5600423232).

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

2128158720 is a wasteful number, since it uses less digits than its factorization.

2128158720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 2128158720 is about 46131.9706927853. The cubic root of 2128158720 is about 1286.2774963168.

The spelling of 2128158720 in words is "two billion, one hundred twenty-eight million, one hundred fifty-eight thousand, seven hundred twenty".