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30135066 = 23132113263
BaseRepresentation
bin111001011110…
…1001100011010
32002201000112120
41302331030122
530203310231
62553522110
7514100223
oct162751432
962630476
1030135066
1116012a15
12a113336
136321600
14400624a
1529a3d96
hex1cbd31a

30135066 has 48 divisors (see below), whose sum is σ = 66090816. Its totient is φ = 9155328.

The previous prime is 30135047. The next prime is 30135071. The reversal of 30135066 is 66053103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114451 + ... + 114713.

It is an arithmetic number, because the mean of its divisors is an integer number (1376892).

Almost surely, 230135066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30135066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33045408).

30135066 is an abundant number, since it is smaller than the sum of its proper divisors (35955750).

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

30135066 is a wasteful number, since it uses less digits than its factorization.

30135066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 30135066 is about 5489.5415109096. The cubic root of 30135066 is about 311.1888652691.

Adding to 30135066 its reverse (66053103), we get a palindrome (96188169).

The spelling of 30135066 in words is "thirty million, one hundred thirty-five thousand, sixty-six".

Divisors: 1 2 3 6 13 26 39 78 113 169 226 263 338 339 507 526 678 789 1014 1469 1578 2938 3419 4407 6838 8814 10257 19097 20514 29719 38194 44447 57291 59438 88894 89157 114582 133341 178314 266682 386347 772694 1159041 2318082 5022511 10045022 15067533 30135066