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12000504 = 2331767439
BaseRepresentation
bin101101110001…
…110011111000
3211120200121010
4231301303320
511033004004
61105113520
7204000615
oct55616370
924520533
1012000504
11685717a
1240288a0
1326422b9
14184550c
1510c0a89
hexb71cf8

12000504 has 64 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 3700224.

The previous prime is 12000473. The next prime is 12000509. The reversal of 12000504 is 40500021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12000504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27117 + ... + 27555.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 212000504 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 12000504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

12000504 is an abundant number, since it is smaller than the sum of its proper divisors (20313096).

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

12000504 is a wasteful number, since it uses less digits than its factorization.

12000504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 12000504 is about 3464.1743605079. The cubic root of 12000504 is about 228.9460536657.

Adding to 12000504 its reverse (40500021), we get a palindrome (52500525).

The spelling of 12000504 in words is "twelve million, five hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 268 402 408 439 536 804 878 1139 1317 1608 1756 2278 2634 3417 3512 4556 5268 6834 7463 9112 10536 13668 14926 22389 27336 29413 29852 44778 58826 59704 88239 89556 117652 176478 179112 235304 352956 500021 705912 1000042 1500063 2000084 3000126 4000168 6000252 12000504