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10164141 = 3213109797
BaseRepresentation
bin100110110001…
…011110101101
3201010101120200
4212301132231
510100223031
61001504113
7152252031
oct46613655
921111520
1010164141
115812519
1234a2039
13214b4b0
1414c81c1
15d5b8e6
hex9b17ad

10164141 has 24 divisors (see below), whose sum is σ = 15975960. Its totient is φ = 6189696.

The previous prime is 10164139. The next prime is 10164149. The reversal of 10164141 is 14146101.

It can be written as a sum of positive squares in 4 ways, for example, as 837225 + 9326916 = 915^2 + 3054^2 .

It is not a de Polignac number, because 10164141 - 21 = 10164139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12355 + ... + 13151.

It is an arithmetic number, because the mean of its divisors is an integer number (665665).

Almost surely, 210164141 is an apocalyptic number.

It is an amenable number.

10164141 is a deficient number, since it is larger than the sum of its proper divisors (5811819).

10164141 is a wasteful number, since it uses less digits than its factorization.

10164141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 922 counting only the distinct ones).

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

The square root of 10164141 is about 3188.1249975495. The cubic root of 10164141 is about 216.6158479105.

The spelling of 10164141 in words is "ten million, one hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 109 117 327 797 981 1417 2391 4251 7173 10361 12753 31083 86873 93249 260619 781857 1129349 3388047 10164141