Search a number
-
+
10135008 = 2532132707
BaseRepresentation
bin100110101010…
…010111100000
3201001220121200
4212222113200
510043310013
61001121200
7152101062
oct46522740
921056550
1010135008
1157a2644
123489200
13213b160
1414bb732
15d52e73
hex9aa5e0

10135008 has 72 divisors (see below), whose sum is σ = 31049928. Its totient is φ = 3117312.

The previous prime is 10134997. The next prime is 10135039. The reversal of 10135008 is 80053101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2391 + ... + 5097.

It is an arithmetic number, because the mean of its divisors is an integer number (431249).

Almost surely, 210135008 is an apocalyptic number.

10135008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10135008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524964).

10135008 is an abundant number, since it is smaller than the sum of its proper divisors (20914920).

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

10135008 is a wasteful number, since it uses less digits than its factorization.

10135008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10135008 is about 3183.5527324045. The cubic root of 10135008 is about 216.4086912526.

Adding to 10135008 its reverse (80053101), we get a palindrome (90188109).

The spelling of 10135008 in words is "ten million, one hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 2707 3744 5414 8121 10828 16242 21656 24363 32484 35191 43312 48726 64968 70382 86624 97452 105573 129936 140764 194904 211146 259872 281528 316719 389808 422292 563056 633438 779616 844584 1126112 1266876 1689168 2533752 3378336 5067504 10135008