Search a number
-
+
6126080 = 2952393
BaseRepresentation
bin10111010111101000000000
3102112020101212
4113113220000
53032013310
6335145252
7103033202
oct27275000
912466355
106126080
113504684
122075228
1313664cc
14b56772
15810205
hex5d7a00

6126080 has 40 divisors (see below), whose sum is σ = 14694372. Its totient is φ = 2449408.

The previous prime is 6126079. The next prime is 6126083. The reversal of 6126080 is 806216.

It can be written as a sum of positive squares in 2 ways, for example, as 5234944 + 891136 = 2288^2 + 944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (6126083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1364 + ... + 3756.

Almost surely, 26126080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7347186).

6126080 is an abundant number, since it is smaller than the sum of its proper divisors (8568292).

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

6126080 is an equidigital number, since it uses as much as digits as its factorization.

6126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 6126080 is about 2475.0919174851. The cubic root of 6126080 is about 182.9760387472.

The spelling of 6126080 in words is "six million, one hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2393 2560 4786 9572 11965 19144 23930 38288 47860 76576 95720 153152 191440 306304 382880 612608 765760 1225216 1531520 3063040 6126080