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12676900 = 2252177457
BaseRepresentation
bin110000010110…
…111100100100
3212212001102211
4300112330210
511221130100
61131413204
7212515615
oct60267444
925761384
1012676900
117179385
1242b4204
13281b132
14197dc0c
1511a61ba
hexc16f24

12676900 has 36 divisors (see below), whose sum is σ = 29130948. Its totient is φ = 4771840.

The previous prime is 12676891. The next prime is 12676901. The reversal of 12676900 is 967621.

It can be written as a sum of positive squares in 6 ways, for example, as 116964 + 12559936 = 342^2 + 3544^2 .

It is a super-2 number, since 2×126769002 = 321407587220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12676901) 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 11 ways as a sum of consecutive naturals, for example, 2029 + ... + 5428.

It is an arithmetic number, because the mean of its divisors is an integer number (809193).

Almost surely, 212676900 is an apocalyptic number.

12676900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12676900 is an abundant number, since it is smaller than the sum of its proper divisors (16454048).

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

12676900 is a wasteful number, since it uses less digits than its factorization.

12676900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488 (or 7481 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 12676900 is about 3560.4634529791. The cubic root of 12676900 is about 233.1691134742.

The spelling of 12676900 in words is "twelve million, six hundred seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 7457 14914 29828 37285 74570 126769 149140 186425 253538 372850 507076 633845 745700 1267690 2535380 3169225 6338450 12676900