Search a number
-
+
4675440 = 2435711223
BaseRepresentation
bin10001110101011101110000
322210112111110
4101311131300
52144103230
6244113320
754512010
oct21653560
98715443
104675440
112703800
121695840
13c79143
14899c40
156254b0
hex475770

4675440 has 240 divisors, whose sum is σ = 18998784. Its totient is φ = 929280.

The previous prime is 4675439. The next prime is 4675453. The reversal of 4675440 is 445764.

4675440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4675398 and 4675407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203269 + ... + 203291.

Almost surely, 24675440 is an apocalyptic number.

4675440 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 4675440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499392).

4675440 is an abundant number, since it is smaller than the sum of its proper divisors (14323344).

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

4675440 is a wasteful number, since it uses less digits than its factorization.

4675440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 4675440 is about 2162.2765780538. The cubic root of 4675440 is about 167.2145878315.

It can be divided in two parts, 4675 and 440, that added together give a palindrome (5115).

The spelling of 4675440 in words is "four million, six hundred seventy-five thousand, four hundred forty".