Search a number
-
+
2134080 = 263351319
BaseRepresentation
bin1000001001000001000000
311000102102000
420021001000
51021242310
6113424000
724065544
oct10110100
94012360
102134080
111228403
1286b000
13599490
143d7a24
152c24c0
hex209040

2134080 has 224 divisors, whose sum is σ = 8534400. Its totient is φ = 497664.

The previous prime is 2134079. The next prime is 2134087. The reversal of 2134080 is 804312.

It is a happy number.

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 (2134087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112311 + ... + 112329.

It is an arithmetic number, because the mean of its divisors is an integer number (38100).

22134080 is an apocalyptic number.

2134080 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 2134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267200).

2134080 is an abundant number, since it is smaller than the sum of its proper divisors (6400320).

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

2134080 is a wasteful number, since it uses less digits than its factorization.

2134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2134080 is about 1460.8490681792. The cubic root of 2134080 is about 128.7469349193.

Adding to 2134080 its reverse (804312), we get a palindrome (2938392).

The spelling of 2134080 in words is "two million, one hundred thirty-four thousand, eighty".