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10058829 = 311304813
BaseRepresentation
bin100110010111…
…110001001101
3200221001010020
4212113301031
510033340304
6555332353
7151333014
oct46276115
920831106
1010058829
115750390
1234510b9
132112591
14149ba7b
15d3a5d9
hex997c4d

10058829 has 8 divisors (see below), whose sum is σ = 14631072. Its totient is φ = 6096240.

The previous prime is 10058827. The next prime is 10058831. The reversal of 10058829 is 92885001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10058827) and next prime (10058831).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10058829 - 21 = 10058827 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 304813 = 10058829 / (1 + 0 + 0 + 5 + 8 + 8 + 2 + 9).

It is a self number, because there is not a number n which added to its sum of digits gives 10058829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10058827) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 152374 + ... + 152439.

It is an arithmetic number, because the mean of its divisors is an integer number (1828884).

Almost surely, 210058829 is an apocalyptic number.

It is an amenable number.

10058829 is a deficient number, since it is larger than the sum of its proper divisors (4572243).

10058829 is a wasteful number, since it uses less digits than its factorization.

10058829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304827.

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 10058829 is about 3171.5657016685. The cubic root of 10058829 is about 215.8651206973.

The spelling of 10058829 in words is "ten million, fifty-eight thousand, eight hundred twenty-nine".

Divisors: 1 3 11 33 304813 914439 3352943 10058829