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12667140 = 2232570373
BaseRepresentation
bin110000010100…
…100100000100
3212211120001100
4300110210010
511220322030
61131300100
7212445303
oct60244404
925746040
1012667140
117172012
1242aa630
132816865
14197a43a
1511a3360
hexc14904

12667140 has 36 divisors (see below), whose sum is σ = 38424204. Its totient is φ = 3377856.

The previous prime is 12667121. The next prime is 12667141. The reversal of 12667140 is 4176621.

It can be written as a sum of positive squares in 2 ways, for example, as 1498176 + 11168964 = 1224^2 + 3342^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (12667141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35007 + ... + 35366.

It is an arithmetic number, because the mean of its divisors is an integer number (1067339).

Almost surely, 212667140 is an apocalyptic number.

12667140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12667140 is an abundant number, since it is smaller than the sum of its proper divisors (25757064).

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

12667140 is a wasteful number, since it uses less digits than its factorization.

12667140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70388 (or 70383 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12667140 is about 3559.0925809818. The cubic root of 12667140 is about 233.1092588087.

The spelling of 12667140 in words is "twelve million, six hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 70373 140746 211119 281492 351865 422238 633357 703730 844476 1055595 1266714 1407460 2111190 2533428 3166785 4222380 6333570 12667140