Search a number
-
+
10009452 = 2235211601
BaseRepresentation
bin100110001011…
…101101101100
3200211112101110
4212023231230
510030300302
6554312020
7151036035
oct46135554
920745343
1010009452
115717282
123428610
1320c5c6b
141487a8c
15d2ab6c
hex98bb6c

10009452 has 24 divisors (see below), whose sum is σ = 23414832. Its totient is φ = 3328000.

The previous prime is 10009423. The next prime is 10009459. The reversal of 10009452 is 25490001.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10009459) 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 7 ways as a sum of consecutive naturals, for example, 5452 + ... + 7052.

It is an arithmetic number, because the mean of its divisors is an integer number (975618).

Almost surely, 210009452 is an apocalyptic number.

10009452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10009452 is an abundant number, since it is smaller than the sum of its proper divisors (13405380).

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

10009452 is a wasteful number, since it uses less digits than its factorization.

10009452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10009452 is about 3163.7717996088. The cubic root of 10009452 is about 215.5113266836.

Adding to 10009452 its reverse (25490001), we get a palindrome (35499453).

The spelling of 10009452 in words is "ten million, nine thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 521 1042 1563 1601 2084 3126 3202 4803 6252 6404 9606 19212 834121 1668242 2502363 3336484 5004726 10009452