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10098312 = 2337231277
BaseRepresentation
bin100110100001…
…011010001000
3201000001021120
4212201122020
510041121222
61000235240
7151556100
oct46413210
921001246
1010098312
115778014
12346bb20
132127543
1414ac200
15d4715c
hex9a1688

10098312 has 96 divisors (see below), whose sum is σ = 30424320. Its totient is φ = 2782080.

The previous prime is 10098269. The next prime is 10098313. The reversal of 10098312 is 21389001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10098313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36318 + ... + 36594.

It is an arithmetic number, because the mean of its divisors is an integer number (316920).

Almost surely, 210098312 is an apocalyptic number.

10098312 is a gapful number since it is divisible by the number (12) 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 10098312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15212160).

10098312 is an abundant number, since it is smaller than the sum of its proper divisors (20326008).

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

10098312 is a wasteful number, since it uses less digits than its factorization.

10098312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10098312 is about 3177.7841336378. The cubic root of 10098312 is about 216.1471904854.

The spelling of 10098312 in words is "ten million, ninety-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 277 294 372 392 434 554 588 651 744 831 868 1108 1176 1302 1519 1662 1736 1939 2216 2604 3038 3324 3878 4557 5208 5817 6076 6648 7756 8587 9114 11634 12152 13573 15512 17174 18228 23268 25761 27146 34348 36456 40719 46536 51522 54292 60109 68696 81438 103044 108584 120218 162876 180327 206088 240436 325752 360654 420763 480872 721308 841526 1262289 1442616 1683052 2524578 3366104 5049156 10098312