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13266000 = 2432531167
BaseRepresentation
bin110010100110…
…110001010000
3220221222112100
4302212301100
511344003000
61152200400
7220521246
oct62466120
926858470
1013266000
117540a40
124539100
132996307
141a94796
151270a00
hexca6c50

13266000 has 240 divisors, whose sum is σ = 51300288. Its totient is φ = 3168000.

The previous prime is 13265981. The next prime is 13266007. The reversal of 13266000 is 66231.

It is a happy number.

13266000 is a `hidden beast` number, since 1 + 3 + 2 + 660 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13266007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197967 + ... + 198033.

Almost surely, 213266000 is an apocalyptic number.

13266000 is a gapful number since it is divisible by the number (10) 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 13266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25650144).

13266000 is an abundant number, since it is smaller than the sum of its proper divisors (38034288).

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

13266000 is a wasteful number, since it uses less digits than its factorization.

13266000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13266000 is about 3642.2520505863. The cubic root of 13266000 is about 236.7263840135.

The spelling of 13266000 in words is "thirteen million, two hundred sixty-six thousand".