Search a number
-
+
2163309120 = 26345711923
BaseRepresentation
bin1000000011110001…
…0111101001000000
312120202122111020000
42000330113221000
513412301342440
6554355120000
7104415552450
oct20074275100
95522574200
102163309120
11a1014a185
125045a3000
1328625608b
14167449d60
15c9dc0730
hex80f17a40

2163309120 has 280 divisors, whose sum is σ = 8795333184. Its totient is φ = 494429184.

The previous prime is 2163309119. The next prime is 2163309131. The reversal of 2163309120 is 219033612.

2163309120 is a `hidden beast` number, since 2 + 1 + 633 + 0 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 175479 + ... + 187401.

Almost surely, 22163309120 is an apocalyptic number.

2163309120 is a gapful number since it is divisible by the number (20) 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 2163309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397666592).

2163309120 is an abundant number, since it is smaller than the sum of its proper divisors (6632024064).

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

2163309120 is a wasteful number, since it uses less digits than its factorization.

2163309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11959 (or 11940 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2163309120 is about 46511.3869928644. The cubic root of 2163309120 is about 1293.3205959941.

The spelling of 2163309120 in words is "two billion, one hundred sixty-three million, three hundred nine thousand, one hundred twenty".