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13264668 = 2233263467
BaseRepresentation
bin110010100110…
…011100011100
3220221220201000
4302212130130
511343432133
61152150300
7220514334
oct62463434
926856630
1013264668
11753aa3a
124538390
132995821
141a940c4
151270413
hexca671c

13264668 has 48 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 4395312.

The previous prime is 13264663. The next prime is 13264673. The reversal of 13264668 is 86646231.

13264668 is a `hidden beast` number, since 1 + 3 + 2 + 646 + 6 + 8 = 666.

13264668 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13264663) and next prime (13264673).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13264663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28171 + ... + 28637.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 213264668 is an apocalyptic number.

13264668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13264668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

13264668 is an abundant number, since it is smaller than the sum of its proper divisors (21329892).

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

13264668 is a wasteful number, since it uses less digits than its factorization.

13264668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 735 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 13264668 is about 3642.0691920940. The cubic root of 13264668 is about 236.7184607486.

The spelling of 13264668 in words is "thirteen million, two hundred sixty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 263 467 526 789 934 1052 1401 1578 1868 2367 2802 3156 4203 4734 5604 7101 8406 9468 12609 14202 16812 25218 28404 50436 122821 245642 368463 491284 736926 1105389 1473852 2210778 3316167 4421556 6632334 13264668