Search a number
-
+
10101828 = 22311103743
BaseRepresentation
bin100110100010…
…010001000100
3201000020002210
4212202101010
510041224303
61000303420
7151602252
oct46422104
921006083
1010101828
11577a720
123471b70
132129019
1414ad5d2
15d48203
hex9a2444

10101828 has 48 divisors (see below), whose sum is σ = 25998336. Its totient is φ = 3027360.

The previous prime is 10101827. The next prime is 10101857. The reversal of 10101828 is 82810101.

It is not an unprimeable number, because it can be changed into a prime (10101821) 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, 13225 + ... + 13967.

It is an arithmetic number, because the mean of its divisors is an integer number (541632).

Almost surely, 210101828 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 10101828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999168).

10101828 is an abundant number, since it is smaller than the sum of its proper divisors (15896508).

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

10101828 is a wasteful number, since it uses less digits than its factorization.

10101828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 10101828 is about 3178.3373011686. The cubic root of 10101828 is about 216.1722734015.

Adding to 10101828 its reverse (82810101), we get a palindrome (92911929).

The spelling of 10101828 in words is "ten million, one hundred one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 743 1133 1236 1486 2229 2266 2972 3399 4458 4532 6798 8173 8916 13596 16346 24519 32692 49038 76529 98076 153058 229587 306116 459174 841819 918348 1683638 2525457 3367276 5050914 10101828