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906268240 = 24511328353
BaseRepresentation
bin110110000001001…
…000111001010000
32100011022012022101
4312001020321100
53324001040430
6225532250144
731313103313
oct6601107120
92304265271
10906268240
11425623819
12213610954
131159ac7c7
148850c97a
1554868dca
hex36048e50

906268240 has 20 divisors (see below), whose sum is σ = 2107073844. Its totient is φ = 362507264.

The previous prime is 906268219. The next prime is 906268243. The reversal of 906268240 is 42862609.

It can be written as a sum of positive squares in 2 ways, for example, as 330076224 + 576192016 = 18168^2 + 24004^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 906268240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906268243) 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 3 ways as a sum of consecutive naturals, for example, 5664097 + ... + 5664256.

Almost surely, 2906268240 is an apocalyptic number.

It is an amenable number.

906268240 is an abundant number, since it is smaller than the sum of its proper divisors (1200805604).

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

906268240 is a wasteful number, since it uses less digits than its factorization.

906268240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328366 (or 11328360 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 906268240 is about 30104.2893953669. The cubic root of 906268240 is about 967.7256525079.

The spelling of 906268240 in words is "nine hundred six million, two hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 11328353 22656706 45313412 56641765 90626824 113283530 181253648 226567060 453134120 906268240