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30120272 = 24713137151
BaseRepresentation
bin111001011100…
…1100101010000
32002200021020122
41302321211100
530202322042
62553325412
7514006130
oct162714520
962607218
1030120272
1116002896
12a106868
136317960
144000ac0
15299e7d2
hex1cb9950

30120272 has 80 divisors (see below), whose sum is σ = 72828672. Its totient is φ = 11750400.

The previous prime is 30120239. The next prime is 30120289. The reversal of 30120272 is 27202103.

It is a self number, because there is not a number n which added to its sum of digits gives 30120272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199397 + ... + 199547.

Almost surely, 230120272 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 30120272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36414336).

30120272 is an abundant number, since it is smaller than the sum of its proper divisors (42708400).

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

30120272 is a wasteful number, since it uses less digits than its factorization.

30120272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 30120272 is about 5488.1938741265. The cubic root of 30120272 is about 311.1379336663.

Adding to 30120272 its reverse (27202103), we get a palindrome (57322375).

The spelling of 30120272 in words is "thirty million, one hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 137 151 182 208 274 302 364 548 604 728 959 1057 1096 1208 1456 1781 1918 1963 2114 2192 2416 3562 3836 3926 4228 7124 7672 7852 8456 12467 13741 14248 15344 15704 16912 20687 24934 27482 28496 31408 41374 49868 54964 82748 99736 109928 144809 165496 199472 219856 268931 289618 330992 537862 579236 1075724 1158472 1882517 2151448 2316944 3765034 4302896 7530068 15060136 30120272