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12006672 = 243318069
BaseRepresentation
bin101101110011…
…010100010000
3211121000001120
4231303110100
511033203142
61105202240
7204024606
oct55632420
924530046
1012006672
116860877
124030380
132645052
141847876
1510c27ec
hexb73510

12006672 has 40 divisors (see below), whose sum is σ = 32021760. Its totient is φ = 3872640.

The previous prime is 12006671. The next prime is 12006679. The reversal of 12006672 is 27660021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12006671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2547 + ... + 5522.

It is an arithmetic number, because the mean of its divisors is an integer number (800544).

Almost surely, 212006672 is an apocalyptic number.

12006672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12006672 is an abundant number, since it is smaller than the sum of its proper divisors (20015088).

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

12006672 is a wasteful number, since it uses less digits than its factorization.

12006672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8111 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 12006672 is about 3465.0645015641. The cubic root of 12006672 is about 228.9852713905.

Adding to 12006672 its reverse (27660021), we get a palindrome (39666693).

The spelling of 12006672 in words is "twelve million, six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 8069 16138 24207 32276 48414 64552 96828 129104 193656 250139 387312 500278 750417 1000556 1500834 2001112 3001668 4002224 6003336 12006672