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16161120 = 253452943
BaseRepresentation
bin111101101001…
…100101100000
31010102001220000
4331221211200
513114123440
61334220000
7254236653
oct75514540
933361800
1016161120
1191390a8
1254b4600
13346acc1
14220989a
151643730
hexf69960

16161120 has 240 divisors, whose sum is σ = 60374160. Its totient is φ = 4064256.

The previous prime is 16161107. The next prime is 16161121. The reversal of 16161120 is 2116161.

16161120 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 (240).

It is a super-2 number, since 2×161611202 = 522363599308800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16161093 and 16161102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16161121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375819 + ... + 375861.

It is an arithmetic number, because the mean of its divisors is an integer number (251559).

Almost surely, 216161120 is an apocalyptic number.

16161120 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 16161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30187080).

16161120 is an abundant number, since it is smaller than the sum of its proper divisors (44213040).

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

16161120 is a wasteful number, since it uses less digits than its factorization.

16161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 16161120 is about 4020.0895512414. The cubic root of 16161120 is about 252.8272135955.

Adding to 16161120 its reverse (2116161), we get a palindrome (18277281).

The spelling of 16161120 in words is "sixteen million, one hundred sixty-one thousand, one hundred twenty".