Search a number
-
+
6474720 = 253574147
BaseRepresentation
bin11000101100101111100000
3110011221122110
4120230233200
53124142340
6350435320
7106014510
oct30545740
913157573
106474720
11372260a
122202b40
1314590c5
14c07840
1587d680
hex62cbe0

6474720 has 192 divisors, whose sum is σ = 24385536. Its totient is φ = 1413120.

The previous prime is 6474701. The next prime is 6474731. The reversal of 6474720 is 274746.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137737 + ... + 137783.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

Almost surely, 26474720 is an apocalyptic number.

6474720 is a gapful number since it is divisible by the number (60) 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 6474720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768).

6474720 is an abundant number, since it is smaller than the sum of its proper divisors (17910816).

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

6474720 is a wasteful number, since it uses less digits than its factorization.

6474720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 6474720 is about 2544.5471109807. The cubic root of 6474720 is about 186.3833002163.

The spelling of 6474720 in words is "six million, four hundred seventy-four thousand, seven hundred twenty".