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12280080 = 2435192693
BaseRepresentation
bin101110110110…
…000100010000
3212002220002210
4232312010100
511120430310
61115112120
7206243661
oct56660420
925086083
1012280080
116a2822a
124142640
13270c627
1418b9368
151128820
hexbb6110

12280080 has 80 divisors (see below), whose sum is σ = 40086720. Its totient is φ = 3101184.

The previous prime is 12280067. The next prime is 12280087. The reversal of 12280080 is 8008221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12280087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3214 + ... + 5906.

It is an arithmetic number, because the mean of its divisors is an integer number (501084).

Almost surely, 212280080 is an apocalyptic number.

12280080 is a gapful number since it is divisible by the number (10) 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 12280080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20043360).

12280080 is an abundant number, since it is smaller than the sum of its proper divisors (27806640).

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

12280080 is a wasteful number, since it uses less digits than its factorization.

12280080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 12280080 is about 3504.2945081714. The cubic root of 12280080 is about 230.7103432650.

The spelling of 12280080 in words is "twelve million, two hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 2693 4560 5386 8079 10772 13465 16158 21544 26930 32316 40395 43088 51167 53860 64632 80790 102334 107720 129264 153501 161580 204668 215440 255835 307002 323160 409336 511670 614004 646320 767505 818672 1023340 1228008 1535010 2046680 2456016 3070020 4093360 6140040 12280080