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12000472 = 2311315383
BaseRepresentation
bin101101110001…
…110011011000
3211120200112221
4231301303120
511033003342
61105113424
7204000541
oct55616330
924520487
1012000472
116857150
124028874
132642293
1418454c8
1510c0a67
hexb71cd8

12000472 has 64 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 5116800.

The previous prime is 12000467. The next prime is 12000473. The reversal of 12000472 is 27400021.

It is a super-2 number, since 2×120004722 = 288022656445568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000473) 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, 144543 + ... + 144625.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 212000472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

12000472 is an abundant number, since it is smaller than the sum of its proper divisors (14126888).

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

12000472 is a wasteful number, since it uses less digits than its factorization.

12000472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 12000472 is about 3464.1697417996. The cubic root of 12000472 is about 228.9458501664.

Adding to 12000472 its reverse (27400021), we get a palindrome (39400493).

The spelling of 12000472 in words is "twelve million, four hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 31 44 53 62 83 88 106 124 166 212 248 332 341 424 583 664 682 913 1166 1364 1643 1826 2332 2573 2728 3286 3652 4399 4664 5146 6572 7304 8798 10292 13144 17596 18073 20584 28303 35192 36146 48389 56606 72292 96778 113212 136369 144584 193556 226424 272738 387112 545476 1090952 1500059 3000118 6000236 12000472