Search a number
-
+
2484840 = 233520707
BaseRepresentation
bin1001011110101001101000
311200020120010
421132221220
51114003330
6125131520
730056301
oct11365150
94606503
102484840
111447996
129b9ba0
13690027
144897a8
153413b0
hex25ea68

2484840 has 32 divisors (see below), whose sum is σ = 7454880. Its totient is φ = 662592.

The previous prime is 2484827. The next prime is 2484857. The reversal of 2484840 is 484842.

2484840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 = 2484798 and 2484807.

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 7 ways as a sum of consecutive naturals, for example, 10234 + ... + 10473.

It is an arithmetic number, because the mean of its divisors is an integer number (232965).

22484840 is an apocalyptic number.

2484840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2484840 is an abundant number, since it is smaller than the sum of its proper divisors (4970040).

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

2484840 is a wasteful number, since it uses less digits than its factorization.

2484840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20721 (or 20717 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 2484840 is about 1576.3375273082. The cubic root of 2484840 is about 135.4459872868.

2484840 divided by its sum of digits (30) gives a palindrome (82828).

The spelling of 2484840 in words is "two million, four hundred eighty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 20707 41414 62121 82828 103535 124242 165656 207070 248484 310605 414140 496968 621210 828280 1242420 2484840