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10398168 = 23321119691
BaseRepresentation
bin100111101010…
…100111011000
3201120021121100
4213222213120
510130220133
61010511400
7154245234
oct47524730
921507540
1010398168
115962330
123595560
132200b81
1415495c4
15da5e13
hex9ea9d8

10398168 has 96 divisors (see below), whose sum is σ = 32385600. Its totient is φ = 2980800.

The previous prime is 10398161. The next prime is 10398197. The reversal of 10398168 is 86189301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10398161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14703 + ... + 15393.

It is an arithmetic number, because the mean of its divisors is an integer number (337350).

Almost surely, 210398168 is an apocalyptic number.

10398168 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 10398168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16192800).

10398168 is an abundant number, since it is smaller than the sum of its proper divisors (21987432).

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

10398168 is a wasteful number, since it uses less digits than its factorization.

10398168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 10398168 is about 3224.6190472674. The cubic root of 10398168 is about 218.2657589893.

The spelling of 10398168 in words is "ten million, three hundred ninety-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 691 792 836 1254 1368 1382 1672 1881 2073 2508 2764 3762 4146 5016 5528 6219 7524 7601 8292 12438 13129 15048 15202 16584 22803 24876 26258 30404 39387 45606 49752 52516 60808 68409 78774 91212 105032 118161 136818 144419 157548 182424 236322 273636 288838 315096 433257 472644 547272 577676 866514 945288 1155352 1299771 1733028 2599542 3466056 5199084 10398168