Search a number
-
+
14136000 = 263531931
BaseRepresentation
bin110101111011…
…001011000000
3222121011221120
4311323023000
512104323000
61222552240
7231103554
oct65731300
928534846
1014136000
117a8564a
124898680
132c0c2c8
141c3d864
1513936a0
hexd7b2c0

14136000 has 224 divisors, whose sum is σ = 50718720. Its totient is φ = 3456000.

The previous prime is 14135999. The next prime is 14136013. The reversal of 14136000 is 63141.

14136000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455985 + ... + 456015.

Almost surely, 214136000 is an apocalyptic number.

14136000 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 14136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25359360).

14136000 is an abundant number, since it is smaller than the sum of its proper divisors (36582720).

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

14136000 is a wasteful number, since it uses less digits than its factorization.

14136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 14136000 is about 3759.7872280224. The cubic root of 14136000 is about 241.7921398900.

Adding to 14136000 its reverse (63141), we get a palindrome (14199141).

The spelling of 14136000 in words is "fourteen million, one hundred thirty-six thousand".