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2632240 = 245132531
BaseRepresentation
bin1010000010101000110000
311221201202101
422002220300
51133212430
6132230144
731242112
oct12025060
94851671
102632240
111538706
12a6b354
13712150
144c73b2
1536edca
hex282a30

2632240 has 40 divisors (see below), whose sum is σ = 6593328. Its totient is φ = 971520.

The previous prime is 2632219. The next prime is 2632247. The reversal of 2632240 is 422362.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226 + ... + 2305.

22632240 is an apocalyptic number.

2632240 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 2632240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296664).

2632240 is an abundant number, since it is smaller than the sum of its proper divisors (3961088).

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

2632240 is a wasteful number, since it uses less digits than its factorization.

2632240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2632240 is about 1622.4179486187. The cubic root of 2632240 is about 138.0729153280.

It can be divided in two parts, 26322 and 40, that added together give a palindrome (26362).

The spelling of 2632240 in words is "two million, six hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2531 5062 10124 12655 20248 25310 32903 40496 50620 65806 101240 131612 164515 202480 263224 329030 526448 658060 1316120 2632240