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10134601 = 172961337
BaseRepresentation
bin100110101010…
…010001001001
3201001220001121
4212222101021
510043301401
61001115241
7152066641
oct46522111
921056047
1010134601
1157a2304
123488b21
13213ac09
1414bb521
15d52ca1
hex9aa449

10134601 has 16 divisors (see below), whose sum is σ = 11316240. Its totient is φ = 9031680.

The previous prime is 10134589. The next prime is 10134637. The reversal of 10134601 is 10643101.

It can be written as a sum of positive squares in 8 ways, for example, as 678976 + 9455625 = 824^2 + 3075^2 .

It is a 4-Lehmer number, since φ(10134601) divides (10134601-1)4.

It is a cyclic number.

It is not a de Polignac number, because 10134601 - 25 = 10134569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10134661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29905 + ... + 30241.

It is an arithmetic number, because the mean of its divisors is an integer number (707265).

It is a Poulet number, since it divides 210134600-1.

Almost surely, 210134601 is an apocalyptic number.

It is an amenable number.

10134601 is a deficient number, since it is larger than the sum of its proper divisors (1181639).

10134601 is a wasteful number, since it uses less digits than its factorization.

10134601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10134601 is about 3183.4888094667. The cubic root of 10134601 is about 216.4057943788.

Adding to 10134601 its reverse (10643101), we get a palindrome (20777702).

The spelling of 10134601 in words is "ten million, one hundred thirty-four thousand, six hundred one".

Divisors: 1 17 29 61 337 493 1037 1769 5729 9773 20557 30073 166141 349469 596153 10134601