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10161144 = 2332720161
BaseRepresentation
bin100110110000…
…101111111000
3201010020110200
4212300233320
510100124034
61001442200
7152240220
oct46605770
921106420
1010161144
115810244
1234a0360
13214a016
1414c7080
15d5aa99
hex9b0bf8

10161144 has 48 divisors (see below), whose sum is σ = 31452720. Its totient is φ = 2903040.

The previous prime is 10161133. The next prime is 10161161. The reversal of 10161144 is 44116101.

10161144 is a `hidden beast` number, since 10 + 1 + 611 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9577 + ... + 10584.

It is an arithmetic number, because the mean of its divisors is an integer number (655265).

Almost surely, 210161144 is an apocalyptic number.

10161144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10161144 is an abundant number, since it is smaller than the sum of its proper divisors (21291576).

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

10161144 is a wasteful number, since it uses less digits than its factorization.

10161144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20180 (or 20173 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10161144 is about 3187.6549374109. The cubic root of 10161144 is about 216.5945553582.

Adding to 10161144 its reverse (44116101), we get a palindrome (54277245).

The spelling of 10161144 in words is "ten million, one hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 20161 40322 60483 80644 120966 141127 161288 181449 241932 282254 362898 423381 483864 564508 725796 846762 1129016 1270143 1451592 1693524 2540286 3387048 5080572 10161144