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2160039168 = 28327219253
BaseRepresentation
bin1000000010111111…
…1001010100000000
312120112111100200200
42000233321110000
513410432223133
6554201045200
7104346013200
oct20057712400
95515440620
102160039168
11a09316441
12503486800
1328567c8b1
14166c38400
15c9976913
hex80bf9500

2160039168 has 486 divisors, whose sum is σ = 7790365674. Its totient is φ = 573640704.

The previous prime is 2160039131. The next prime is 2160039179. The reversal of 2160039168 is 8619300612.

2160039168 is a `hidden beast` number, since 2 + 1 + 600 + 39 + 16 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1997017344 + 163021824 = 44688^2 + 12768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 40755430 + ... + 40755482.

It is an arithmetic number, because the mean of its divisors is an integer number (16029559).

Almost surely, 22160039168 is an apocalyptic number.

2160039168 is a gapful number since it is divisible by the number (28) 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 2160039168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895182837).

2160039168 is an abundant number, since it is smaller than the sum of its proper divisors (5630326506).

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

2160039168 is a wasteful number, since it uses less digits than its factorization.

2160039168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2160039168 is about 46476.2215331668. The cubic root of 2160039168 is about 1292.6686273884.

The spelling of 2160039168 in words is "two billion, one hundred sixty million, thirty-nine thousand, one hundred sixty-eight".