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10288240 = 245128603
BaseRepresentation
bin100111001111…
…110001110000
3201100200210221
4213033301300
510113210430
61004302424
7153306604
oct47176160
921320727
1010288240
115897786
123541a14
132192b21
14151b504
15d8357a
hex9cfc70

10288240 has 20 divisors (see below), whose sum is σ = 23920344. Its totient is φ = 4115264.

The previous prime is 10288217. The next prime is 10288241. The reversal of 10288240 is 4288201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10288241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64222 + ... + 64381.

Almost surely, 210288240 is an apocalyptic number.

10288240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10288240 is an abundant number, since it is smaller than the sum of its proper divisors (13632104).

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

10288240 is a wasteful number, since it uses less digits than its factorization.

10288240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128616 (or 128610 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 10288240 is about 3207.5286436757. The cubic root of 10288240 is about 217.4938739632.

The spelling of 10288240 in words is "ten million, two hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 128603 257206 514412 643015 1028824 1286030 2057648 2572060 5144120 10288240