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12077681 = 7111011553
BaseRepresentation
bin101110000100…
…101001110001
3211201121110112
4232010221301
511042441211
61110511105
7204441620
oct56045161
924647415
1012077681
1168aa160
124065495
13266b475
1418656b7
1510d888b
hexb84a71

12077681 has 16 divisors (see below), whose sum is σ = 15216768. Its totient is φ = 9312000.

The previous prime is 12077671. The next prime is 12077683. The reversal of 12077681 is 18677021.

It is a cyclic number.

It is not a de Polignac number, because 12077681 - 26 = 12077617 is a prime.

It is a super-2 number, since 2×120776812 = 291740756675522, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12077683) 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 15 ways as a sum of consecutive naturals, for example, 7001 + ... + 8553.

It is an arithmetic number, because the mean of its divisors is an integer number (951048).

Almost surely, 212077681 is an apocalyptic number.

12077681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12077681 is a deficient number, since it is larger than the sum of its proper divisors (3139087).

12077681 is a wasteful number, since it uses less digits than its factorization.

12077681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672.

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 12077681 is about 3475.2958147473. The cubic root of 12077681 is about 229.4358004918.

It can be divided in two parts, 1207 and 7681, that added together give a palindrome (8888).

The spelling of 12077681 in words is "twelve million, seventy-seven thousand, six hundred eighty-one".

Divisors: 1 7 11 77 101 707 1111 1553 7777 10871 17083 119581 156853 1097971 1725383 12077681