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30001829 = 1121319073
BaseRepresentation
bin111001001110…
…0101010100101
32002110020202212
41302130222211
530140024304
62551013205
7513003614
oct162345245
962406685
1030001829
1115a31900
12a06a205
1362a5a80
143dad87b
15297966e
hex1c9caa5

30001829 has 12 divisors (see below), whose sum is σ = 35515788. Its totient is φ = 25175040.

The previous prime is 30001819. The next prime is 30001841. The reversal of 30001829 is 92810003.

It can be written as a sum of positive squares in 2 ways, for example, as 1890625 + 28111204 = 1375^2 + 5302^2 .

It is not a de Polignac number, because 30001829 - 212 = 29997733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30001819) 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 11 ways as a sum of consecutive naturals, for example, 7964 + ... + 11109.

It is an arithmetic number, because the mean of its divisors is an integer number (2959649).

Almost surely, 230001829 is an apocalyptic number.

It is an amenable number.

30001829 is a deficient number, since it is larger than the sum of its proper divisors (5513959).

30001829 is a wasteful number, since it uses less digits than its factorization.

30001829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19108 (or 19097 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 30001829 is about 5477.3925365999. The cubic root of 30001829 is about 310.7295650540.

The spelling of 30001829 in words is "thirty million, one thousand, eight hundred twenty-nine".

Divisors: 1 11 13 121 143 1573 19073 209803 247949 2307833 2727439 30001829