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10405252 = 22111318191
BaseRepresentation
bin100111101100…
…010110000100
3201120122022201
4213230112010
510130432002
61011004244
7154305004
oct47542604
921518281
1010405252
115967690
123599684
132204170
14154c004
15da8087
hex9ec584

10405252 has 24 divisors (see below), whose sum is σ = 21393792. Its totient is φ = 4365600.

The previous prime is 10405247. The next prime is 10405261. The reversal of 10405252 is 25250401.

10405252 is a modest number, since divided by 5252 gives 1040 as remainder.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8524 + ... + 9667.

It is an arithmetic number, because the mean of its divisors is an integer number (891408).

Almost surely, 210405252 is an apocalyptic number.

It is an amenable number.

10405252 is an abundant number, since it is smaller than the sum of its proper divisors (10988540).

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

10405252 is a wasteful number, since it uses less digits than its factorization.

10405252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18219 (or 18217 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 10405252 is about 3225.7172845741. The cubic root of 10405252 is about 218.3153139892.

Adding to 10405252 its reverse (25250401), we get a palindrome (35655653).

The spelling of 10405252 in words is "ten million, four hundred five thousand, two hundred fifty-two".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 18191 36382 72764 200101 236483 400202 472966 800404 945932 2601313 5202626 10405252