Search a number
-
+
2310080 = 2657219
BaseRepresentation
bin1000110011111111000000
311100100211112
420303333000
51042410310
6121302452
725430633
oct10637700
94310745
102310080
111338663
12934a28
1362b616
14441c1a
15309705
hex233fc0

2310080 has 28 divisors (see below), whose sum is σ = 5501640. Its totient is φ = 923904.

The previous prime is 2310067. The next prime is 2310083. The reversal of 2310080 is 800132.

2310080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2310083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3290 + ... + 3929.

22310080 is an apocalyptic number.

2310080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2310080 is an abundant number, since it is smaller than the sum of its proper divisors (3191560).

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

2310080 is an equidigital number, since it uses as much as digits as its factorization.

2310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236 (or 7226 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2310080 is about 1519.8947331970. The cubic root of 2310080 is about 132.1931668326.

The spelling of 2310080 in words is "two million, three hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 7219 14438 28876 36095 57752 72190 115504 144380 231008 288760 462016 577520 1155040 2310080