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12082032 = 243283903
BaseRepresentation
bin101110000101…
…101101110000
3211201211102200
4232011231300
511043111112
61110543200
7204460404
oct56055560
924654380
1012082032
116902456
124067b00
132670441
141867104
1510d9cdc
hexb85b70

12082032 has 30 divisors (see below), whose sum is σ = 33813312. Its totient is φ = 4027296.

The previous prime is 12082027. The next prime is 12082099. The reversal of 12082032 is 23028021.

It is a happy number.

12082032 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 a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12081996 and 12082014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41808 + ... + 42095.

Almost surely, 212082032 is an apocalyptic number.

12082032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12082032 is an abundant number, since it is smaller than the sum of its proper divisors (21731280).

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

12082032 is a wasteful number, since it uses less digits than its factorization.

12082032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83917 (or 83908 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12082032 is about 3475.9217482561. The cubic root of 12082032 is about 229.4633486973.

It can be divided in two parts, 1208 and 2032, that added together give a triangular number (3240 = T80).

The spelling of 12082032 in words is "twelve million, eighty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 83903 167806 251709 335612 503418 671224 755127 1006836 1342448 1510254 2013672 3020508 4027344 6041016 12082032