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12788001 = 327571877
BaseRepresentation
bin110000110010…
…000100100001
3220001200211200
4300302010201
511233204001
61134031413
7213460542
oct60620441
926050750
1012788001
1172448a6
124348569
132859885
1419ac4c9
1511c9086
hexc32121

12788001 has 12 divisors (see below), whose sum is σ = 18505812. Its totient is φ = 8509536.

The previous prime is 12787997. The next prime is 12788003. The reversal of 12788001 is 10088721.

It can be written as a sum of positive squares in 2 ways, for example, as 7952400 + 4835601 = 2820^2 + 2199^2 .

It is not a de Polignac number, because 12788001 - 22 = 12787997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12788003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5875 + ... + 7751.

It is an arithmetic number, because the mean of its divisors is an integer number (1542151).

Almost surely, 212788001 is an apocalyptic number.

It is an amenable number.

12788001 is a deficient number, since it is larger than the sum of its proper divisors (5717811).

12788001 is a wasteful number, since it uses less digits than its factorization.

12788001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 12788001 is about 3576.0314595932. The cubic root of 12788001 is about 233.8483018533.

The spelling of 12788001 in words is "twelve million, seven hundred eighty-eight thousand, one".

Divisors: 1 3 9 757 1877 2271 5631 6813 16893 1420889 4262667 12788001