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4530240 = 2632511213
BaseRepresentation
bin10001010010000001000000
322112011022200
4101102001000
52124431430
6241033200
753335461
oct21220100
98464280
104530240
112614700
121625800
13c28020
1485cd68
155e7460
hex452040

4530240 has 252 divisors, whose sum is σ = 18444972. Its totient is φ = 1013760.

The previous prime is 4530203. The next prime is 4530257. The reversal of 4530240 is 420354.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 3415104 = 1056^2 + 1848^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348474 + ... + 348486.

Almost surely, 24530240 is an apocalyptic number.

4530240 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 4530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222486).

4530240 is an abundant number, since it is smaller than the sum of its proper divisors (13914732).

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

4530240 is a wasteful number, since it uses less digits than its factorization.

4530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 34 counting only the distinct ones).

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

The square root of 4530240 is about 2128.4360455508. The cubic root of 4530240 is about 165.4653529880.

Adding to 4530240 its reverse (420354), we get a palindrome (4950594).

The spelling of 4530240 in words is "four million, five hundred thirty thousand, two hundred forty".