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12007780 = 2251735317
BaseRepresentation
bin101101110011…
…100101100100
3211121001120121
4231303211210
511033222110
61105211324
7204031051
oct55634544
924531517
1012007780
116861694
124030b44
1326456c5
141848028
1510c2cda
hexb73964

12007780 has 24 divisors (see below), whose sum is σ = 26700408. Its totient is φ = 4520448.

The previous prime is 12007777. The next prime is 12007781. The reversal of 12007780 is 8770021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 9498724 = 1584^2 + 3082^2 .

It is not an unprimeable number, because it can be changed into a prime (12007781) 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 7 ways as a sum of consecutive naturals, for example, 17319 + ... + 17998.

It is an arithmetic number, because the mean of its divisors is an integer number (1112517).

Almost surely, 212007780 is an apocalyptic number.

12007780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12007780 is an abundant number, since it is smaller than the sum of its proper divisors (14692628).

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

12007780 is a wasteful number, since it uses less digits than its factorization.

12007780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35343 (or 35341 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 12007780 is about 3465.2243794594. The cubic root of 12007780 is about 228.9923149153.

The spelling of 12007780 in words is "twelve million, seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 35317 70634 141268 176585 353170 600389 706340 1200778 2401556 3001945 6003890 12007780