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13266396 = 22331113859
BaseRepresentation
bin110010100110…
…110111011100
3220222000002000
4302212313130
511344011041
61152202300
7220522353
oct62466734
926860060
1013266396
117541270
124539390
132996550
141a9499a
151270bb6
hexca6ddc

13266396 has 96 divisors (see below), whose sum is σ = 40454400. Its totient is φ = 3706560.

The previous prime is 13266371. The next prime is 13266397. The reversal of 13266396 is 69366231.

13266396 is a `hidden beast` number, since 1 + 3 + 266 + 396 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13266396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13266397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15015 + ... + 15873.

It is an arithmetic number, because the mean of its divisors is an integer number (421400).

Almost surely, 213266396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13266396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20227200).

13266396 is an abundant number, since it is smaller than the sum of its proper divisors (27188004).

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

13266396 is a wasteful number, since it uses less digits than its factorization.

13266396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 888 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 13266396 is about 3642.3064121515. The cubic root of 13266396 is about 236.7287394765.

13266396 divided by its sum of digits (36) gives a triangular number (368511 = T858).

The spelling of 13266396 in words is "thirteen million, two hundred sixty-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 859 1188 1287 1404 1716 1718 2574 2577 3436 3861 5148 5154 7722 7731 9449 10308 11167 15444 15462 18898 22334 23193 28347 30924 33501 37796 44668 46386 56694 67002 85041 92772 100503 113388 122837 134004 170082 201006 245674 255123 301509 340164 368511 402012 491348 510246 603018 737022 1020492 1105533 1206036 1474044 2211066 3316599 4422132 6633198 13266396