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12048132 = 2237179179
BaseRepresentation
bin101101111101…
…011100000100
3211200002221010
4231331130010
511041020012
61110122220
7204256515
oct55753404
924602833
1012048132
116889a38
124050370
13265ab95
141858a0c
1510cec3c
hexb7d704

12048132 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 3887520.

The previous prime is 12048131. The next prime is 12048143. The reversal of 12048132 is 23184021.

It is a junction number, because it is equal to n+sod(n) for n = 12048099 and 12048108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12048131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67219 + ... + 67397.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 212048132 is an apocalyptic number.

12048132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12048132 is an abundant number, since it is smaller than the sum of its proper divisors (16982268).

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

12048132 is a wasteful number, since it uses less digits than its factorization.

12048132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12048132 is about 3471.0419185023. The cubic root of 12048132 is about 229.2485367575.

The spelling of 12048132 in words is "twelve million, forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 71 79 142 158 179 213 237 284 316 358 426 474 537 716 852 948 1074 2148 5609 11218 12709 14141 16827 22436 25418 28282 33654 38127 42423 50836 56564 67308 76254 84846 152508 169692 1004011 2008022 3012033 4016044 6024066 12048132