Search a number
-
+
4294080 = 26335771
BaseRepresentation
bin10000011000010111000000
322002011101000
4100120113000
52044402310
6232012000
751333120
oct20302700
98064330
104294080
11247322a
121531000
13b7469b
147dac80
1559c4c0
hex4185c0

4294080 has 224 divisors, whose sum is σ = 17556480. Its totient is φ = 967680.

The previous prime is 4294067. The next prime is 4294099. The reversal of 4294080 is 804924.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60445 + ... + 60515.

Almost surely, 24294080 is an apocalyptic number.

4294080 is a gapful number since it is divisible by the number (40) 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 4294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778240).

4294080 is an abundant number, since it is smaller than the sum of its proper divisors (13262400).

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

4294080 is a wasteful number, since it uses less digits than its factorization.

4294080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

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

The square root of 4294080 is about 2072.2162049362. The cubic root of 4294080 is about 162.5386732412.

The spelling of 4294080 in words is "four million, two hundred ninety-four thousand, eighty".