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4532240 = 245181313
BaseRepresentation
bin10001010010100000010000
322112021001202
4101102200100
52130012430
6241050332
753344346
oct21224020
98467052
104532240
112616159
1216269a8
13c28bcb
1485d996
155e7d45
hex452810

4532240 has 40 divisors (see below), whose sum is σ = 10629528. Its totient is φ = 1797120.

The previous prime is 4532237. The next prime is 4532267. The reversal of 4532240 is 422354.

It can be written as a sum of positive squares in 4 ways, for example, as 595984 + 3936256 = 772^2 + 1984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14324 + ... + 14636.

Almost surely, 24532240 is an apocalyptic number.

4532240 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 4532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314764).

4532240 is an abundant number, since it is smaller than the sum of its proper divisors (6097288).

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

4532240 is a wasteful number, since it uses less digits than its factorization.

4532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4532240 is about 2128.9058222477. The cubic root of 4532240 is about 165.4896991608.

Adding to 4532240 its reverse (422354), we get a palindrome (4954594).

The spelling of 4532240 in words is "four million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 313 362 626 724 905 1252 1448 1565 1810 2504 2896 3130 3620 5008 6260 7240 12520 14480 25040 56653 113306 226612 283265 453224 566530 906448 1133060 2266120 4532240