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10041168 = 243533947
BaseRepresentation
bin100110010011…
…011101010000
3200220010220010
4212103131100
510032304133
6555114520
7151230354
oct46233520
920803803
1010041168
115739095
123442a40
132107527
141495464
15d35263
hex993750

10041168 has 40 divisors (see below), whose sum is σ = 26435808. Its totient is φ = 3283072.

The previous prime is 10041167. The next prime is 10041173. The reversal of 10041168 is 86114001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571 + ... + 4517.

Almost surely, 210041168 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 10041168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217904).

10041168 is an abundant number, since it is smaller than the sum of its proper divisors (16394640).

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

10041168 is a wasteful number, since it uses less digits than its factorization.

10041168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10041168 is about 3168.7802069566. The cubic root of 10041168 is about 215.7387101146.

Adding to 10041168 its reverse (86114001), we get a palindrome (96155169).

The spelling of 10041168 in words is "ten million, forty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 3947 7894 11841 15788 23682 31576 47364 63152 94728 189456 209191 418382 627573 836764 1255146 1673528 2510292 3347056 5020584 10041168