Search a number
-
+
30428013 = 3711157839
BaseRepresentation
bin111010000010…
…0101101101101
32010020220101110
41310010231231
530242144023
63004102233
7516430260
oct164045555
963226343
1030428013
11161a3020
12a234979
1363c4a55
144080cd7
152a10a93
hex1d04b6d

30428013 has 32 divisors (see below), whose sum is σ = 50964480. Its totient is φ = 15687360.

The previous prime is 30428003. The next prime is 30428039. The reversal of 30428013 is 31082403.

It is a happy number.

It is not a de Polignac number, because 30428013 - 25 = 30427981 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 (30428003) 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 31 ways as a sum of consecutive naturals, for example, 35848 + ... + 36686.

It is an arithmetic number, because the mean of its divisors is an integer number (1592640).

Almost surely, 230428013 is an apocalyptic number.

30428013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

30428013 is a deficient number, since it is larger than the sum of its proper divisors (20536467).

30428013 is a wasteful number, since it uses less digits than its factorization.

30428013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 30428013 is about 5516.1592616602. The cubic root of 30428013 is about 312.1939848062.

The spelling of 30428013 in words is "thirty million, four hundred twenty-eight thousand, thirteen".

Divisors: 1 3 7 11 21 33 77 157 231 471 839 1099 1727 2517 3297 5181 5873 9229 12089 17619 27687 36267 64603 131723 193809 395169 922061 1448953 2766183 4346859 10142671 30428013