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10009461 = 371143331
BaseRepresentation
bin100110001011…
…101101110101
3200211112101210
4212023231311
510030300321
6554312033
7151036050
oct46135565
920745353
1010009461
115717290
123428619
1320c5c77
141487a97
15d2ab76
hex98bb75

10009461 has 16 divisors (see below), whose sum is σ = 16639488. Its totient is φ = 5199600.

The previous prime is 10009459. The next prime is 10009463. The reversal of 10009461 is 16490001.

It is an interprime number because it is at equal distance from previous prime (10009459) and next prime (10009463).

It is not a de Polignac number, because 10009461 - 21 = 10009459 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009463) 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, 21435 + ... + 21896.

It is an arithmetic number, because the mean of its divisors is an integer number (1039968).

Almost surely, 210009461 is an apocalyptic number.

10009461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10009461 is a deficient number, since it is larger than the sum of its proper divisors (6630027).

10009461 is a wasteful number, since it uses less digits than its factorization.

10009461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43352.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10009461 is about 3163.7732219614. The cubic root of 10009461 is about 215.5113912759.

Adding to 10009461 its reverse (16490001), we get a palindrome (26499462).

The spelling of 10009461 in words is "ten million, nine thousand, four hundred sixty-one".

Divisors: 1 3 7 11 21 33 77 231 43331 129993 303317 476641 909951 1429923 3336487 10009461