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12411084 = 2237712081
BaseRepresentation
bin101111010110…
…000011001100
3212100112210210
4233112003030
511134123314
61122002420
7210330630
oct57260314
925315723
1012411084
1170076a4
1241a6410
13275714a
141910dc0
151152559
hexbd60cc

12411084 has 48 divisors (see below), whose sum is σ = 33578496. Its totient is φ = 3494400.

The previous prime is 12411083. The next prime is 12411103. The reversal of 12411084 is 48011421.

It is a happy number.

12411084 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

12411084 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 12411084.

It is not an unprimeable number, because it can be changed into a prime (12411083) 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, 4924 + ... + 7004.

It is an arithmetic number, because the mean of its divisors is an integer number (699552).

Almost surely, 212411084 is an apocalyptic number.

12411084 is a gapful number since it is divisible by the number (14) 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 12411084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16789248).

12411084 is an abundant number, since it is smaller than the sum of its proper divisors (21167412).

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

12411084 is a wasteful number, since it uses less digits than its factorization.

12411084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2164 counting only the distinct ones).

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

The square root of 12411084 is about 3522.9368430331. The cubic root of 12411084 is about 231.5278497128.

The spelling of 12411084 in words is "twelve million, four hundred eleven thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2081 2982 4162 5964 6243 8324 12486 14567 24972 29134 43701 58268 87402 147751 174804 295502 443253 591004 886506 1034257 1773012 2068514 3102771 4137028 6205542 12411084