Search a number
-
+
12280092 = 22311313001
BaseRepresentation
bin101110110110…
…000100011100
3212002220010020
4232312010130
511120430332
61115112140
7206244006
oct56660434
925086106
1012280092
116a28240
124142650
13270c636
1418b9376
15112882c
hexbb611c

12280092 has 48 divisors (see below), whose sum is σ = 32277504. Its totient is φ = 3600000.

The previous prime is 12280087. The next prime is 12280097. The reversal of 12280092 is 29008221.

12280092 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12280087) and next prime (12280097).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12280097) 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, 2592 + ... + 5592.

It is an arithmetic number, because the mean of its divisors is an integer number (672448).

Almost surely, 212280092 is an apocalyptic number.

12280092 is a gapful number since it is divisible by the number (12) 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 12280092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16138752).

12280092 is an abundant number, since it is smaller than the sum of its proper divisors (19997412).

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

12280092 is a wasteful number, since it uses less digits than its factorization.

12280092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12280092 is about 3504.2962203558. The cubic root of 12280092 is about 230.7104184144.

The spelling of 12280092 in words is "twelve million, two hundred eighty thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 3001 4092 6002 9003 12004 18006 33011 36012 66022 93031 99033 132044 186062 198066 279093 372124 396132 558186 1023341 1116372 2046682 3070023 4093364 6140046 12280092