Search a number
-
+
20110080 = 28355237
BaseRepresentation
bin100110010110…
…1101100000000
31101211200211210
41030231230000
520122010310
61555010120
7332634654
oct114555400
941750753
1020110080
1110396001
126899940
134221573
142956a64
151b73820
hex132db00

20110080 has 72 divisors (see below), whose sum is σ = 64238832. Its totient is φ = 5361664.

The previous prime is 20110043. The next prime is 20110087. The reversal of 20110080 is 8001102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20110087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1222 + ... + 6458.

It is an arithmetic number, because the mean of its divisors is an integer number (892206).

Almost surely, 220110080 is an apocalyptic number.

20110080 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 20110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32119416).

20110080 is an abundant number, since it is smaller than the sum of its proper divisors (44128752).

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

20110080 is an equidigital number, since it uses as much as digits as its factorization.

20110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 20110080 is about 4484.4263847230. The cubic root of 20110080 is about 271.9388559217.

Adding to 20110080 its reverse (8001102), we get a palindrome (28111182).

The spelling of 20110080 in words is "twenty million, one hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 5237 10474 15711 20948 26185 31422 41896 52370 62844 78555 83792 104740 125688 157110 167584 209480 251376 314220 335168 418960 502752 628440 670336 837920 1005504 1256880 1340672 1675840 2011008 2513760 3351680 4022016 5027520 6703360 10055040 20110080