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12007000 = 235312007
BaseRepresentation
bin101101110011…
…011001011000
3211121000111201
4231303121120
511033211000
61105203544
7204025555
oct55633130
924530451
1012007000
116861045
1240305b4
132645245
141847a2c
1510c296a
hexb73658

12007000 has 32 divisors (see below), whose sum is σ = 28098720. Its totient is φ = 4802400.

The previous prime is 12006977. The next prime is 12007027. The reversal of 12007000 is 70021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5004 + ... + 7003.

It is an arithmetic number, because the mean of its divisors is an integer number (878085).

Almost surely, 212007000 is an apocalyptic number.

12007000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12007000 is an abundant number, since it is smaller than the sum of its proper divisors (16091720).

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

12007000 is a wasteful number, since it uses less digits than its factorization.

12007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12028 (or 12014 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 12007000 is about 3465.1118308072. Note that the first 3 decimals coincide. The cubic root of 12007000 is about 228.9873565224.

Adding to 12007000 its reverse (70021), we get a palindrome (12077021).

The spelling of 12007000 in words is "twelve million, seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12007 24014 48028 60035 96056 120070 240140 300175 480280 600350 1200700 1500875 2401400 3001750 6003500 12007000