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10299168 = 2532113251
BaseRepresentation
bin100111010010…
…011100100000
3201101020210200
4213102130200
510114033133
61004425200
7153353505
oct47223440
921336720
1010299168
1158a4a10
123548200
132197aa9
1415214ac
15d86913
hex9d2720

10299168 has 72 divisors (see below), whose sum is σ = 31960656. Its totient is φ = 3120000.

The previous prime is 10299167. The next prime is 10299181. The reversal of 10299168 is 86199201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×102991682 = 212145722984448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10299167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1543 + ... + 4793.

It is an arithmetic number, because the mean of its divisors is an integer number (443898).

Almost surely, 210299168 is an apocalyptic number.

10299168 is a gapful number since it is divisible by the number (18) 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 10299168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980328).

10299168 is an abundant number, since it is smaller than the sum of its proper divisors (21661488).

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

10299168 is a wasteful number, since it uses less digits than its factorization.

10299168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 10299168 is about 3209.2316837524. The cubic root of 10299168 is about 217.5708528578.

It can be divided in two parts, 1029916 and 8, that multiplied together give a palindrome (8239328).

The spelling of 10299168 in words is "ten million, two hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3251 6502 9753 13004 19506 26008 29259 35761 39012 52016 58518 71522 78024 104032 107283 117036 143044 156048 214566 234072 286088 312096 321849 429132 468144 572176 643698 858264 936288 1144352 1287396 1716528 2574792 3433056 5149584 10299168