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13860000 = 253254711
BaseRepresentation
bin110100110111…
…110010100000
3222002011100100
4310313302200
512022010000
61213022400
7225544110
oct64676240
928064310
1013860000
117907250
124784a00
132b437ab
141bab040
15133ba00
hexd37ca0

13860000 has 360 divisors, whose sum is σ = 61405344. Its totient is φ = 2880000.

The previous prime is 13859983. The next prime is 13860001. The reversal of 13860000 is 6831.

13860000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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 (13860001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1259995 + ... + 1260005.

Almost surely, 213860000 is an apocalyptic number.

13860000 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 13860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30702672).

13860000 is an abundant number, since it is smaller than the sum of its proper divisors (47545344).

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

13860000 is a wasteful number, since it uses less digits than its factorization.

13860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13860000 is about 3722.9020937973. The cubic root of 13860000 is about 240.2081527496.

Adding to 13860000 its reverse (6831), we get a palindrome (13866831).

The spelling of 13860000 in words is "thirteen million, eight hundred sixty thousand".