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2484720 = 2432571729
BaseRepresentation
bin1001011110100111110000
311200020101200
421132213300
51114002340
6125131200
730056040
oct11364760
94606350
102484720
111447897
129b9b00
1368cc64
14489720
15341330
hex25e9f0

2484720 has 240 divisors, whose sum is σ = 10445760. Its totient is φ = 516096.

The previous prime is 2484707. The next prime is 2484721. The reversal of 2484720 is 274842.

2484720 = 2632 + 2642 + ... + 2942.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2484721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85666 + ... + 85694.

It is an arithmetic number, because the mean of its divisors is an integer number (43524).

22484720 is an apocalyptic number.

2484720 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 2484720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222880).

2484720 is an abundant number, since it is smaller than the sum of its proper divisors (7961040).

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

2484720 is a wasteful number, since it uses less digits than its factorization.

2484720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2484720 is about 1576.2994639344. The cubic root of 2484720 is about 135.4438068942.

The spelling of 2484720 in words is "two million, four hundred eighty-four thousand, seven hundred twenty".