Search a number
-
+
30272112 = 243213103157
BaseRepresentation
bin111001101111…
…0101001110000
32002221222112100
41303132221300
530222201422
63000500400
7515210613
oct163365160
962858470
1030272112
11160a6982
12a17a700
13636bac0
14404017a
1529ce7ac
hex1cdea70

30272112 has 120 divisors (see below), whose sum is σ = 92709344. Its totient is φ = 9165312.

The previous prime is 30272093. The next prime is 30272113. The reversal of 30272112 is 21127203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30272113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192738 + ... + 192894.

Almost surely, 230272112 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 30272112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46354672).

30272112 is an abundant number, since it is smaller than the sum of its proper divisors (62437232).

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

30272112 is a wasteful number, since it uses less digits than its factorization.

30272112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 30272112 is about 5502.0098146041. The cubic root of 30272112 is about 311.6598857832.

Adding to 30272112 its reverse (21127203), we get a palindrome (51399315).

The spelling of 30272112 in words is "thirty million, two hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 103 104 117 144 156 157 206 208 234 309 312 314 412 468 471 618 624 628 824 927 936 942 1236 1256 1339 1413 1648 1854 1872 1884 2041 2472 2512 2678 2826 3708 3768 4017 4082 4944 5356 5652 6123 7416 7536 8034 8164 10712 11304 12051 12246 14832 16068 16171 16328 18369 21424 22608 24102 24492 32136 32342 32656 36738 48204 48513 48984 64272 64684 73476 96408 97026 97968 129368 145539 146952 192816 194052 210223 258736 291078 293904 388104 420446 582156 630669 776208 840892 1164312 1261338 1681784 1892007 2328624 2522676 3363568 3784014 5045352 7568028 10090704 15136056 30272112