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10168368 = 243753571
BaseRepresentation
bin100110110010…
…100000110000
3201010121101020
4212302200300
510100341433
61001535440
7152300250
oct46624060
921117336
1010168368
115815711
1234a4580
1321503b2
1414c9960
15d5ccb3
hex9b2830

10168368 has 80 divisors (see below), whose sum is σ = 30640896. Its totient is φ = 2845440.

The previous prime is 10168349. The next prime is 10168373. The reversal of 10168368 is 86386101.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17523 + ... + 18093.

Almost surely, 210168368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10168368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448).

10168368 is an abundant number, since it is smaller than the sum of its proper divisors (20472528).

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

10168368 is a wasteful number, since it uses less digits than its factorization.

10168368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 10168368 is about 3188.7878574781. The cubic root of 10168368 is about 216.6458720345.

The spelling of 10168368 in words is "ten million, one hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 571 636 742 848 1113 1142 1272 1484 1713 2226 2284 2544 2968 3426 3997 4452 4568 5936 6852 7994 8904 9136 11991 13704 15988 17808 23982 27408 30263 31976 47964 60526 63952 90789 95928 121052 181578 191856 211841 242104 363156 423682 484208 635523 726312 847364 1271046 1452624 1694728 2542092 3389456 5084184 10168368