Search a number
-
+
10213808 = 2411131443
BaseRepresentation
bin100110111101…
…100110110000
3201012220201012
4212331212300
510103320213
61002530052
7152546603
oct46754660
921186635
1010213808
115846870
123506928
132167c97
1414dc33a
15d6b4a8
hex9bd9b0

10213808 has 40 divisors (see below), whose sum is σ = 21802176. Its totient is φ = 4596800.

The previous prime is 10213807. The next prime is 10213837. The reversal of 10213808 is 80831201.

It is not an unprimeable number, because it can be changed into a prime (10213807) 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, 22835 + ... + 23277.

Almost surely, 210213808 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 10213808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10901088).

10213808 is an abundant number, since it is smaller than the sum of its proper divisors (11588368).

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

10213808 is a wasteful number, since it uses less digits than its factorization.

10213808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 10213808 is about 3195.9048796859. The cubic root of 10213808 is about 216.9681053451.

The spelling of 10213808 in words is "ten million, two hundred thirteen thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 443 524 886 1048 1441 1772 2096 2882 3544 4873 5764 7088 9746 11528 19492 23056 38984 58033 77968 116066 232132 464264 638363 928528 1276726 2553452 5106904 10213808