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10130064 = 243725973
BaseRepresentation
bin100110101001…
…001010010000
3201001122211120
4212221022100
510043130224
61001042240
7152050500
oct46511220
921048746
1010130064
11579995a
123486380
132138b29
1414b9a00
15d51779
hex9a9290

10130064 has 120 divisors (see below), whose sum is σ = 31381920. Its totient is φ = 2806272.

The previous prime is 10130047. The next prime is 10130089. The reversal of 10130064 is 46003101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138732 + ... + 138804.

It is an arithmetic number, because the mean of its divisors is an integer number (261516).

Almost surely, 210130064 is an apocalyptic number.

10130064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15690960).

10130064 is an abundant number, since it is smaller than the sum of its proper divisors (21251856).

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

10130064 is a wasteful number, since it uses less digits than its factorization.

10130064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10130064 is about 3182.7761466996. The cubic root of 10130064 is about 216.3734964574.

Adding to 10130064 its reverse (46003101), we get a palindrome (56133165).

The spelling of 10130064 in words is "ten million, one hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 59 73 84 98 112 118 146 147 168 177 196 219 236 292 294 336 354 392 413 438 472 511 584 588 708 784 826 876 944 1022 1168 1176 1239 1416 1533 1652 1752 2044 2352 2478 2832 2891 3066 3304 3504 3577 4088 4307 4956 5782 6132 6608 7154 8176 8614 8673 9912 10731 11564 12264 12921 14308 17228 17346 19824 21462 23128 24528 25842 28616 30149 34456 34692 42924 46256 51684 57232 60298 68912 69384 85848 90447 103368 120596 138768 171696 180894 206736 211043 241192 361788 422086 482384 633129 723576 844172 1266258 1447152 1688344 2532516 3376688 5065032 10130064