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12084040 = 235317953
BaseRepresentation
bin101110000110…
…001101001000
3211201221012001
4232012031020
511043142130
61111000344
7204466303
oct56061510
924657161
1012084040
116903a11
1240690b4
132671327
141867b3a
1510da6ca
hexb86348

12084040 has 32 divisors (see below), whose sum is σ = 27303480. Its totient is φ = 4813312.

The previous prime is 12084031. The next prime is 12084041. The reversal of 12084040 is 4048021.

It can be written as a sum of positive squares in 4 ways, for example, as 6120676 + 5963364 = 2474^2 + 2442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12083999 and 12084017.

It is not an unprimeable number, because it can be changed into a prime (12084041) 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, 12204 + ... + 13156.

Almost surely, 212084040 is an apocalyptic number.

12084040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12084040 is an abundant number, since it is smaller than the sum of its proper divisors (15219440).

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

12084040 is a wasteful number, since it uses less digits than its factorization.

12084040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 12084040 is about 3476.2105805029. The cubic root of 12084040 is about 229.4760600492.

The spelling of 12084040 in words is "twelve million, eighty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 317 634 953 1268 1585 1906 2536 3170 3812 4765 6340 7624 9530 12680 19060 38120 302101 604202 1208404 1510505 2416808 3021010 6042020 12084040