Search a number
-
+
2160406080 = 2639573
BaseRepresentation
bin1000000011000101…
…0010111001000000
312120120012000000000
42000301102321000
513411030443310
6554213000000
7104352102000
oct20061227100
95516160000
102160406080
11a09547078
12503623000
1328577a8c1
14166cd2000
15c99ea4c0
hex80c52e40

2160406080 has 560 divisors, whose sum is σ = 8998915200. Its totient is φ = 493807104.

The previous prime is 2160406067. The next prime is 2160406091. The reversal of 2160406080 is 806040612.

2160406080 is a `hidden beast` number, since 2 + 16 + 0 + 40 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 308629437 + ... + 308629443.

Almost surely, 22160406080 is an apocalyptic number.

2160406080 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 2160406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499457600).

2160406080 is an abundant number, since it is smaller than the sum of its proper divisors (6838509120).

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

2160406080 is an frugal number, since it uses more digits than its factorization.

2160406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2160406080 is about 46480.1686743927. The cubic root of 2160406080 is about 1292.7418156876.

Adding to 2160406080 its reverse (806040612), we get a palindrome (2966446692).

The spelling of 2160406080 in words is "two billion, one hundred sixty million, four hundred six thousand, eighty".