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2080375200 = 2532521132557
BaseRepresentation
bin111110000000000…
…0000000110100000
312100222121000021100
41330000000012200
513230034001300
6542233354400
7102360616551
oct17400000640
95328530240
102080375200
11978354752
124a0868a00
13272009457
1415a41c328
15c298c700
hex7c0001a0

2080375200 has 216 divisors, whose sum is σ = 7403737068. Its totient is φ = 549642240.

The previous prime is 2080375183. The next prime is 2080375201. The reversal of 2080375200 is 25730802.

It can be written as a sum of positive squares in 6 ways, for example, as 160883856 + 1919491344 = 12684^2 + 43812^2 .

It is not an unprimeable number, because it can be changed into a prime (2080375201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 812322 + ... + 814878.

Almost surely, 22080375200 is an apocalyptic number.

2080375200 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 2080375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701868534).

2080375200 is an abundant number, since it is smaller than the sum of its proper divisors (5323361868).

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

2080375200 is a wasteful number, since it uses less digits than its factorization.

2080375200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2080375200 is about 45611.1302205942. The cubic root of 2080375200 is about 1276.5776088629.

The spelling of 2080375200 in words is "two billion, eighty million, three hundred seventy-five thousand, two hundred".