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2634080 = 255101163
BaseRepresentation
bin1010000011000101100000
311221211021112
422003011200
51133242310
6132242452
731250351
oct12030540
94854245
102634080
11153a029
12a70428
13712c37
144c7d28
15370705
hex283160

2634080 has 48 divisors (see below), whose sum is σ = 6323184. Its totient is φ = 1036800.

The previous prime is 2634013. The next prime is 2634083. The reversal of 2634080 is 804362.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2634083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16079 + ... + 16241.

It is an arithmetic number, because the mean of its divisors is an integer number (131733).

22634080 is an apocalyptic number.

2634080 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 2634080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161592).

2634080 is an abundant number, since it is smaller than the sum of its proper divisors (3689104).

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

2634080 is a wasteful number, since it uses less digits than its factorization.

2634080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2634080 is about 1622.9849044276. The cubic root of 2634080 is about 138.1050799471.

The spelling of 2634080 in words is "two million, six hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 163 202 326 404 505 652 808 815 1010 1304 1616 1630 2020 2608 3232 3260 4040 5216 6520 8080 13040 16160 16463 26080 32926 65852 82315 131704 164630 263408 329260 526816 658520 1317040 2634080