Search a number
-
+
30113824 = 2513191379
BaseRepresentation
bin111001011100…
…0000000100000
32002122221101211
41302320000200
530202120244
62553235504
7513651256
oct162700040
962587354
1030113824
1115aa8a64
12a102b94
136314a40
143ddc5d6
15299c934
hex1cb8020

30113824 has 48 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 13789440.

The previous prime is 30113821. The next prime is 30113827. The reversal of 30113824 is 42831103.

It is an interprime number because it is at equal distance from previous prime (30113821) and next prime (30113827).

It is a junction number, because it is equal to n+sod(n) for n = 30113795 and 30113804.

It is not an unprimeable number, because it can be changed into a prime (30113821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79267 + ... + 79645.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 230113824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30113824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

30113824 is an abundant number, since it is smaller than the sum of its proper divisors (34236896).

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

30113824 is a wasteful number, since it uses less digits than its factorization.

30113824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 30113824 is about 5487.6063998796. The cubic root of 30113824 is about 311.1157297878.

Adding to 30113824 its reverse (42831103), we get a palindrome (72944927).

The spelling of 30113824 in words is "thirty million, one hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 191 208 379 382 416 758 764 1516 1528 2483 3032 3056 4927 4966 6064 6112 9854 9932 12128 19708 19864 39416 39728 72389 78832 79456 144778 157664 289556 579112 941057 1158224 1882114 2316448 3764228 7528456 15056912 30113824