Search a number
-
+
30120896 = 261341883
BaseRepresentation
bin111001011100…
…1101111000000
32002200022002202
41302321233000
530202332041
62553332332
7514011011
oct162715700
962608082
1030120896
1116003303
12a1070a8
136318020
144001008
15299ea9b
hex1cb9bc0

30120896 has 56 divisors (see below), whose sum is σ = 66013584. Its totient is φ = 13547520.

The previous prime is 30120887. The next prime is 30120917. The reversal of 30120896 is 69802103.

It is a congruent number.

It is an unprimeable number.

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, 33671 + ... + 34553.

It is an arithmetic number, because the mean of its divisors is an integer number (1178814).

Almost surely, 230120896 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 30120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33006792).

30120896 is an abundant number, since it is smaller than the sum of its proper divisors (35892688).

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

30120896 is a wasteful number, since it uses less digits than its factorization.

30120896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 30120896 is about 5488.2507231357. The cubic root of 30120896 is about 311.1400822605.

Adding to 30120896 its reverse (69802103), we get a palindrome (99922999).

The spelling of 30120896 in words is "thirty million, one hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 533 656 832 883 1066 1312 1766 2132 2624 3532 4264 7064 8528 11479 14128 17056 22958 28256 34112 36203 45916 56512 72406 91832 144812 183664 289624 367328 470639 579248 734656 941278 1158496 1882556 2316992 3765112 7530224 15060448 30120896