Search a number
-
+
30013962 = 2311835479
BaseRepresentation
bin111001001111…
…1101000001010
32002110212102020
41302133220022
530140421322
62551145310
7513054156
oct162375012
962425366
1030013962
1115a3aa30
12a075236
1362ab454
143db4066
15297d05c
hex1c9fa0a

30013962 has 32 divisors (see below), whose sum is σ = 66286080. Its totient is φ = 8983920.

The previous prime is 30013933. The next prime is 30013967. The reversal of 30013962 is 26931003.

It is not an unprimeable number, because it can be changed into a prime (30013967) 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 15 ways as a sum of consecutive naturals, for example, 2739 + ... + 8217.

It is an arithmetic number, because the mean of its divisors is an integer number (2071440).

Almost surely, 230013962 is an apocalyptic number.

It is a pronic number, being equal to 5478×5479.

It is a practical number, because each smaller number is the sum of distinct divisors of 30013962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33143040).

30013962 is an abundant number, since it is smaller than the sum of its proper divisors (36272118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30013962 is a wasteful number, since it uses less digits than its factorization.

30013962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 30013962 is about 5478.4999771835. The cubic root of 30013962 is about 310.7714466530.

Adding to 30013962 its reverse (26931003), we get a palindrome (56944965).

The spelling of 30013962 in words is "thirty million, thirteen thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 913 1826 2739 5478 5479 10958 16437 32874 60269 120538 180807 361614 454757 909514 1364271 2728542 5002327 10004654 15006981 30013962