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10130016 = 253138117
BaseRepresentation
bin100110101001…
…001001100000
3201001122202210
4212221021200
510043130031
61001042120
7152050401
oct46511140
921048683
1010130016
115799916
123486340
132138ac0
1414b99a8
15d51746
hex9a9260

10130016 has 48 divisors (see below), whose sum is σ = 28640304. Its totient is φ = 3116544.

The previous prime is 10130009. The next prime is 10130017. The reversal of 10130016 is 61003101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10129983 and 10130010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2811 + ... + 5306.

It is an arithmetic number, because the mean of its divisors is an integer number (596673).

Almost surely, 210130016 is an apocalyptic number.

10130016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10130016 is an abundant number, since it is smaller than the sum of its proper divisors (18510288).

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

10130016 is a wasteful number, since it uses less digits than its factorization.

10130016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8143 (or 8135 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 10130016 is about 3182.7686061038. The cubic root of 10130016 is about 216.3731547043.

Adding to 10130016 its reverse (61003101), we get a palindrome (71133117).

The spelling of 10130016 in words is "ten million, one hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 8117 16234 24351 32468 48702 64936 97404 105521 129872 194808 211042 259744 316563 389616 422084 633126 779232 844168 1266252 1688336 2532504 3376672 5065008 10130016