Search a number
-
+
10011808 = 252361223
BaseRepresentation
bin100110001100…
…010010100000
3200211122121201
4212030102200
510030334213
6554330544
7151045642
oct46142240
920748551
1010011808
115719024
123429a54
1320c7061
141488892
15d2b6dd
hex98c4a0

10011808 has 48 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 4688640.

The previous prime is 10011797. The next prime is 10011809. The reversal of 10011808 is 80811001.

It is not an unprimeable number, because it can be changed into a prime (10011809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44785 + ... + 45007.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 210011808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

10011808 is an abundant number, since it is smaller than the sum of its proper divisors (10986848).

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

10011808 is a wasteful number, since it uses less digits than its factorization.

10011808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

The square root of 10011808 is about 3164.1441180831. The cubic root of 10011808 is about 215.5282341978.

Adding to 10011808 its reverse (80811001), we get a palindrome (90822809).

It can be divided in two parts, 1001 and 1808, that added together give a square (2809 = 532).

The spelling of 10011808 in words is "ten million, eleven thousand, eight hundred eight".

Divisors: 1 2 4 8 16 23 32 46 61 92 122 184 223 244 368 446 488 736 892 976 1403 1784 1952 2806 3568 5129 5612 7136 10258 11224 13603 20516 22448 27206 41032 44896 54412 82064 108824 164128 217648 312869 435296 625738 1251476 2502952 5005904 10011808