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10130028 = 22317223127
BaseRepresentation
bin100110101001…
…001001101100
3201001122210020
4212221021230
510043130103
61001042140
7152050416
oct46511154
921048706
1010130028
115799927
123486350
132138acc
1414b99b6
15d51753
hex9a926c

10130028 has 72 divisors (see below), whose sum is σ = 26406912. Its totient is φ = 3015936.

The previous prime is 10130023. The next prime is 10130033. The reversal of 10130028 is 82003101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10130023) and next prime (10130033).

It is a junction number, because it is equal to n+sod(n) for n = 10129989 and 10130016.

It is not an unprimeable number, because it can be changed into a prime (10130023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79701 + ... + 79827.

Almost surely, 210130028 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 10130028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13203456).

10130028 is an abundant number, since it is smaller than the sum of its proper divisors (16276884).

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

10130028 is a wasteful number, since it uses less digits than its factorization.

10130028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

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

The square root of 10130028 is about 3182.7704912544. The cubic root of 10130028 is about 216.3732401427.

Adding to 10130028 its reverse (82003101), we get a palindrome (92133129).

The spelling of 10130028 in words is "ten million, one hundred thirty thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 127 138 204 254 276 289 381 391 508 578 762 782 867 1156 1173 1524 1564 1734 2159 2346 2921 3468 4318 4692 5842 6477 6647 8636 8763 11684 12954 13294 17526 19941 25908 26588 35052 36703 39882 49657 73406 79764 99314 110109 146812 148971 198628 220218 297942 440436 595884 844169 1688338 2532507 3376676 5065014 10130028