Search a number
-
+
16113600 = 263352373
BaseRepresentation
bin111101011101…
…111111000000
31010022122201000
4331131333000
513111113400
61333212000
7253651266
oct75357700
933278630
1016113600
119106428
125491000
133452499
1421d6436
151634600
hexf5dfc0

16113600 has 168 divisors, whose sum is σ = 58897520. Its totient is φ = 4285440.

The previous prime is 16113599. The next prime is 16113607. The reversal of 16113600 is 631161.

16113600 is a `hidden beast` number, since 1 + 61 + 1 + 3 + 600 = 666.

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 (16113607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43014 + ... + 43386.

Almost surely, 216113600 is an apocalyptic number.

16113600 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 16113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29448760).

16113600 is an abundant number, since it is smaller than the sum of its proper divisors (42783920).

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

16113600 is a wasteful number, since it uses less digits than its factorization.

16113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 16113600 is about 4014.1748840827. The cubic root of 16113600 is about 252.5791667586.

Adding to 16113600 its reverse (631161), we get a palindrome (16744761).

The spelling of 16113600 in words is "sixteen million, one hundred thirteen thousand, six hundred".