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12689064 = 2332176237
BaseRepresentation
bin110000011001…
…111010101000
3212212200010100
4300121322220
511222022224
61131545400
7212566233
oct60317250
925780110
1012689064
117187533
1242bb260
13282382b
14198441a
1511a9ac9
hexc19ea8

12689064 has 24 divisors (see below), whose sum is σ = 34366410. Its totient is φ = 4229664.

The previous prime is 12689057. The next prime is 12689069. The reversal of 12689064 is 46098621.

It can be written as a sum of positive squares in only one way, i.e., 7128900 + 5560164 = 2670^2 + 2358^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×126890642 = 322024690392192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12689069) 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 5 ways as a sum of consecutive naturals, for example, 88047 + ... + 88190.

Almost surely, 212689064 is an apocalyptic number.

It is an amenable number.

12689064 is an abundant number, since it is smaller than the sum of its proper divisors (21677346).

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

12689064 is a wasteful number, since it uses less digits than its factorization.

12689064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176249 (or 176242 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12689064 is about 3562.1712479891. The cubic root of 12689064 is about 233.2436680422.

The spelling of 12689064 in words is "twelve million, six hundred eighty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 176237 352474 528711 704948 1057422 1409896 1586133 2114844 3172266 4229688 6344532 12689064