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13638240 = 2533571141
BaseRepresentation
bin110100000001…
…101001100000
3221122220011000
4310001221200
511442410430
61204152000
7223631430
oct64015140
927586130
1013638240
117775680
124698600
132a96885
141b502c0
1512e5e60
hexd01a60

13638240 has 384 divisors, whose sum is σ = 60963840. Its totient is φ = 2764800.

The previous prime is 13638239. The next prime is 13638253. The reversal of 13638240 is 4283631.

It is a happy number.

13638240 is a `hidden beast` number, since 1 + 3 + 638 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332620 + ... + 332660.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 213638240 is an apocalyptic number.

13638240 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 13638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

13638240 is an abundant number, since it is smaller than the sum of its proper divisors (47325600).

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

13638240 is a wasteful number, since it uses less digits than its factorization.

13638240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

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

The square root of 13638240 is about 3692.9987814783. The cubic root of 13638240 is about 238.9201486245.

The spelling of 13638240 in words is "thirteen million, six hundred thirty-eight thousand, two hundred forty".