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10213008 = 2431321259
BaseRepresentation
bin100110111101…
…011010010000
3201012212121120
4212331122100
510103304013
61002522240
7152544351
oct46753220
921185546
1010213008
115846203
123506380
132167800
1414dbd28
15d6b123
hex9bd690

10213008 has 60 divisors (see below), whose sum is σ = 28591920. Its totient is φ = 3139968.

The previous prime is 10213003. The next prime is 10213031. The reversal of 10213008 is 80031201.

It is a happy number.

10213008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10213001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7483 + ... + 8741.

It is an arithmetic number, because the mean of its divisors is an integer number (476532).

Almost surely, 210213008 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 10213008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295960).

10213008 is an abundant number, since it is smaller than the sum of its proper divisors (18378912).

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

10213008 is a wasteful number, since it uses less digits than its factorization.

10213008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10213008 is about 3195.7797170644. The cubic root of 10213008 is about 216.9624404969.

Adding to 10213008 its reverse (80031201), we get a palindrome (90244209).

The spelling of 10213008 in words is "ten million, two hundred thirteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1259 1352 2028 2518 2704 3777 4056 5036 7554 8112 10072 15108 16367 20144 30216 32734 49101 60432 65468 98202 130936 196404 212771 261872 392808 425542 638313 785616 851084 1276626 1702168 2553252 3404336 5106504 10213008