Search a number
-
+
2807404080 = 24351359101151
BaseRepresentation
bin1010011101010101…
…1001011000110000
321020122121220101220
42213111121120300
521222143412310
61142324225040
7126366353355
oct24725313060
97218556356
102807404080
111210785268
1266423b180
13359820360
141c8bd062c
151166ed670
hexa7559630

2807404080 has 320 divisors, whose sum is σ = 9689379840. Its totient is φ = 668160000.

The previous prime is 2807404069. The next prime is 2807404087. The reversal of 2807404080 is 804047082.

It is a super-3 number, since 3×28074040803 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2807404087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18592005 + ... + 18592155.

It is an arithmetic number, because the mean of its divisors is an integer number (30279312).

Almost surely, 22807404080 is an apocalyptic number.

2807404080 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 2807404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844689920).

2807404080 is an abundant number, since it is smaller than the sum of its proper divisors (6881975760).

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

2807404080 is a wasteful number, since it uses less digits than its factorization.

2807404080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2807404080 is about 52984.9420118584. The cubic root of 2807404080 is about 1410.7010044771.

The spelling of 2807404080 in words is "two billion, eight hundred seven million, four hundred four thousand, eighty".