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12000400 = 2452191579
BaseRepresentation
bin101101110001…
…110010010000
3211120200110021
4231301302100
511033003100
61105113224
7204000406
oct55616220
924520407
1012000400
116857095
124028814
132642239
141845476
1510c0a1a
hexb71c90

12000400 has 60 divisors (see below), whose sum is σ = 30367600. Its totient is φ = 4544640.

The previous prime is 12000383. The next prime is 12000407. The reversal of 12000400 is 400021.

It is not an unprimeable number, because it can be changed into a prime (12000407) 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 11 ways as a sum of consecutive naturals, for example, 6811 + ... + 8389.

Almost surely, 212000400 is an apocalyptic number.

12000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15183800).

12000400 is an abundant number, since it is smaller than the sum of its proper divisors (18367200).

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

12000400 is a wasteful number, since it uses less digits than its factorization.

12000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 12000400 is about 3464.1593496836. The cubic root of 12000400 is about 228.9453922918.

Adding to 12000400 its reverse (400021), we get a palindrome (12400421).

The spelling of 12000400 in words is "twelve million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1579 1900 3158 3800 6316 7600 7895 12632 15790 25264 30001 31580 39475 60002 63160 78950 120004 126320 150005 157900 240008 300010 315800 480016 600020 631600 750025 1200040 1500050 2400080 3000100 6000200 12000400