Search a number
-
+
30983112 = 23321721489
BaseRepresentation
bin111011000110…
…0001111001000
32011022002211200
41312030033020
530412424422
63024024200
7524231526
oct166141710
964262750
1030983112
1116542086
12a462060
13655a604
144187316
152ac02ac
hex1d8c3c8

30983112 has 72 divisors (see below), whose sum is σ = 89198850. Its totient is φ = 9713664.

The previous prime is 30983087. The next prime is 30983119. The reversal of 30983112 is 21138903.

It can be written as a sum of positive squares in 3 ways, for example, as 29095236 + 1887876 = 5394^2 + 1374^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (30983119) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20064 + ... + 21552.

Almost surely, 230983112 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 30983112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44599425).

30983112 is an abundant number, since it is smaller than the sum of its proper divisors (58215738).

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

30983112 is a wasteful number, since it uses less digits than its factorization.

30983112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 30983112 is about 5566.2475690540. The cubic root of 30983112 is about 314.0810101068.

The spelling of 30983112 in words is "thirty million, nine hundred eighty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1489 1734 2312 2601 2978 3468 4467 5202 5956 6936 8934 10404 11912 13401 17868 20808 25313 26802 35736 50626 53604 75939 101252 107208 151878 202504 227817 303756 430321 455634 607512 860642 911268 1290963 1721284 1822536 2581926 3442568 3872889 5163852 7745778 10327704 15491556 30983112