Search a number
-
+
2016795024 = 24352931577
BaseRepresentation
bin111100000110101…
…1101100110010000
312012112221210200000
41320031131212100
513112244420044
6532042530000
7100656321606
oct17015354620
95175853600
102016795024
11945478a52
12483506900
13261aa7a4a
14151bcb876
15bc0cdd69
hex7835d990

2016795024 has 240 divisors, whose sum is σ = 6261265920. Its totient is φ = 627056640.

The previous prime is 2016795023. The next prime is 2016795049. The reversal of 2016795024 is 4205976102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2016795024.

It is not an unprimeable number, because it can be changed into a prime (2016795023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3495024 + ... + 3495600.

It is an arithmetic number, because the mean of its divisors is an integer number (26088608).

Almost surely, 22016795024 is an apocalyptic number.

2016795024 is a gapful number since it is divisible by the number (24) 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 2016795024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130632960).

2016795024 is an abundant number, since it is smaller than the sum of its proper divisors (4244470896).

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

2016795024 is a wasteful number, since it uses less digits than its factorization.

2016795024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2016795024 is about 44908.7410645188. The cubic root of 2016795024 is about 1263.4379578087.

The spelling of 2016795024 in words is "two billion, sixteen million, seven hundred ninety-five thousand, twenty-four".