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10214240 = 25563839
BaseRepresentation
bin100110111101…
…101101100000
3201012221022012
4212331231200
510103323430
61002532052
7152551061
oct46755540
921187265
1010214240
115847123
123507028
13216823a
1414dc568
15d6b695
hex9bdb60

10214240 has 24 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 4085632.

The previous prime is 10214209. The next prime is 10214249. The reversal of 10214240 is 4241201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214249) 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, 31760 + ... + 32079.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 210214240 is an apocalyptic number.

10214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214240 is an abundant number, since it is smaller than the sum of its proper divisors (13917280).

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

10214240 is an equidigital number, since it uses as much as digits as its factorization.

10214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63854 (or 63846 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 10214240 is about 3195.9724654634. The cubic root of 10214240 is about 216.9711642402.

Adding to 10214240 its reverse (4241201), we get a palindrome (14455441).

The spelling of 10214240 in words is "ten million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 63839 127678 255356 319195 510712 638390 1021424 1276780 2042848 2553560 5107120 10214240