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10248066 = 2331011879
BaseRepresentation
bin100111000101…
…111110000010
3201021122201000
4213011332002
510110414231
61003352430
7153051513
oct47057602
921248630
1010248066
11586a584
123522716
13217a75a
14150aa0a
15d766e6
hex9c5f82

10248066 has 32 divisors (see below), whose sum is σ = 23011200. Its totient is φ = 3380400.

The previous prime is 10248037. The next prime is 10248067. The reversal of 10248066 is 66084201.

10248066 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10248067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4515 + ... + 6393.

It is an arithmetic number, because the mean of its divisors is an integer number (719100).

Almost surely, 210248066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10248066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11505600).

10248066 is an abundant number, since it is smaller than the sum of its proper divisors (12763134).

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

10248066 is a wasteful number, since it uses less digits than its factorization.

10248066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10248066 is about 3201.2600644121. The cubic root of 10248066 is about 217.2104112710.

The spelling of 10248066 in words is "ten million, two hundred forty-eight thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 1879 2727 3758 5454 5637 11274 16911 33822 50733 101466 189779 379558 569337 1138674 1708011 3416022 5124033 10248066