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12000680 = 235300017
BaseRepresentation
bin101101110001…
…110110101000
3211120200211122
4231301312220
511033010210
61105114412
7204001256
oct55616650
924520748
1012000680
11685731a
124028a08
1326423c3
1418455d6
1510c0b55
hexb71da8

12000680 has 16 divisors (see below), whose sum is σ = 27001620. Its totient is φ = 4800256.

The previous prime is 12000679. The next prime is 12000683. The reversal of 12000680 is 8600021.

It can be written as a sum of positive squares in 2 ways, for example, as 11546404 + 454276 = 3398^2 + 674^2 .

It is not an unprimeable number, because it can be changed into a prime (12000683) 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, 149969 + ... + 150048.

Almost surely, 212000680 is an apocalyptic number.

12000680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000680 is an abundant number, since it is smaller than the sum of its proper divisors (15000940).

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

12000680 is a wasteful number, since it uses less digits than its factorization.

12000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300028 (or 300024 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 12000680 is about 3464.1997632931. The cubic root of 12000680 is about 228.9471729050.

The spelling of 12000680 in words is "twelve million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 300017 600034 1200068 1500085 2400136 3000170 6000340 12000680