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10110096 = 243429269
BaseRepresentation
bin100110100100…
…010010010000
3201000122110000
4212210102100
510042010341
61000410000
7151635333
oct46442220
921018400
1010110096
115785957
123476900
13212ca09
1414b261a
15d4a8b6
hex9a4490

10110096 has 100 divisors (see below), whose sum is σ = 30383100. Its totient is φ = 3241728.

The previous prime is 10110091. The next prime is 10110119. The reversal of 10110096 is 69001101.

It can be written as a sum of positive squares in 2 ways, for example, as 2624400 + 7485696 = 1620^2 + 2736^2 .

It is a super-2 number, since 2×101100962 = 204428082258432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10110091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37450 + ... + 37718.

It is an arithmetic number, because the mean of its divisors is an integer number (303831).

Almost surely, 210110096 is an apocalyptic number.

10110096 is a gapful number since it is divisible by the number (16) 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 10110096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15191550).

10110096 is an abundant number, since it is smaller than the sum of its proper divisors (20273004).

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

10110096 is a wasteful number, since it uses less digits than its factorization.

10110096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 10110096 is about 3179.6377152122. The cubic root of 10110096 is about 216.2312338510.

Adding to 10110096 its reverse (69001101), we get a palindrome (79111197).

The spelling of 10110096 in words is "ten million, one hundred ten thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 269 324 348 432 464 522 538 648 696 783 807 1044 1076 1296 1392 1566 1614 2088 2152 2349 2421 3132 3228 4176 4304 4698 4842 6264 6456 7263 7801 9396 9684 12528 12912 14526 15602 18792 19368 21789 23403 29052 31204 37584 38736 43578 46806 58104 62408 70209 87156 93612 116208 124816 140418 174312 187224 210627 280836 348624 374448 421254 561672 631881 842508 1123344 1263762 1685016 2527524 3370032 5055048 10110096