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13266414 = 2327211499
BaseRepresentation
bin110010100110…
…110111101110
3220222000002200
4302212313232
511344011124
61152202330
7220522410
oct62466756
926860080
1013266414
117541287
1245393a6
132996565
141a949b0
151270bc9
hexca6dee

13266414 has 48 divisors (see below), whose sum is σ = 33072000. Its totient is φ = 3764880.

The previous prime is 13266413. The next prime is 13266431. The reversal of 13266414 is 41466231.

13266414 is a `hidden beast` number, since 13 + 2 + 6 + 641 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13266413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26337 + ... + 26835.

It is an arithmetic number, because the mean of its divisors is an integer number (689000).

Almost surely, 213266414 is an apocalyptic number.

13266414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13266414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536000).

13266414 is an abundant number, since it is smaller than the sum of its proper divisors (19805586).

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

13266414 is a wasteful number, since it uses less digits than its factorization.

13266414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 722 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13266414 is about 3642.3088831125. The cubic root of 13266414 is about 236.7288465419.

The spelling of 13266414 in words is "thirteen million, two hundred sixty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 211 422 499 633 998 1266 1477 1497 1899 2954 2994 3493 3798 4431 4491 6986 8862 8982 10479 13293 20958 26586 31437 62874 105289 210578 315867 631734 737023 947601 1474046 1895202 2211069 4422138 6633207 13266414