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12000468 = 2231000039
BaseRepresentation
bin101101110001…
…110011010100
3211120200112210
4231301303110
511033003333
61105113420
7204000534
oct55616324
924520483
1012000468
116857147
124028870
13264228c
1418454c4
1510c0a63
hexb71cd4

12000468 has 12 divisors (see below), whose sum is σ = 28001120. Its totient is φ = 4000152.

The previous prime is 12000467. The next prime is 12000473. The reversal of 12000468 is 86400021.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×120004682 = 288022464438048, which contains 22 as substring.

12000468 is a modest number, since divided by 468 gives 12 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000467) 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 3 ways as a sum of consecutive naturals, for example, 500008 + ... + 500031.

Almost surely, 212000468 is an apocalyptic number.

It is an amenable number.

12000468 is an abundant number, since it is smaller than the sum of its proper divisors (16000652).

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

12000468 is a wasteful number, since it uses less digits than its factorization.

12000468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000046 (or 1000044 counting only the distinct ones).

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

The square root of 12000468 is about 3464.1691644607. The cubic root of 12000468 is about 228.9458247290.

Adding to 12000468 its reverse (86400021), we get a palindrome (98400489).

The spelling of 12000468 in words is "twelve million, four hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 1000039 2000078 3000117 4000156 6000234 12000468