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2423520 = 253451117
BaseRepresentation
bin1001001111101011100000
311120010110000
421033223200
51110023040
6123540000
726412441
oct11175340
94503400
102423520
111405910
1298a600
1366b148
144712c8
1532d130
hex24fae0

2423520 has 240 divisors, whose sum is σ = 9879408. Its totient is φ = 552960.

The previous prime is 2423497. The next prime is 2423521. The reversal of 2423520 is 253242.

2423520 is digitally balanced in base 2, 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 (18).

It is a d-powerful number, because it can be written as 2 + 49 + 211 + 310 + 55 + 221 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2423493 and 2423502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423521) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 142552 + ... + 142568.

22423520 is an apocalyptic number.

2423520 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 2423520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939704).

2423520 is an abundant number, since it is smaller than the sum of its proper divisors (7455888).

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

2423520 is a wasteful number, since it uses less digits than its factorization.

2423520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2423520 is about 1556.7658783517. The cubic root of 2423520 is about 134.3225318866.

Adding to 2423520 its reverse (253242), we get a palindrome (2676762).

The spelling of 2423520 in words is "two million, four hundred twenty-three thousand, five hundred twenty".