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30120220 = 225133137101
BaseRepresentation
bin111001011100…
…1100100011100
32002200021011201
41302321210130
530202321340
62553325244
7514006024
oct162714434
962607151
1030120220
1116002849
12a106824
136317920
144000a84
15299e79a
hex1cb991c

30120220 has 96 divisors (see below), whose sum is σ = 72930816. Its totient is φ = 10368000.

The previous prime is 30120217. The next prime is 30120221. The reversal of 30120220 is 2202103.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 30120197 and 30120206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30120221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 298170 + ... + 298270.

It is an arithmetic number, because the mean of its divisors is an integer number (759696).

Almost surely, 230120220 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 30120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36465408).

30120220 is an abundant number, since it is smaller than the sum of its proper divisors (42810596).

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

30120220 is a wasteful number, since it uses less digits than its factorization.

30120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 30120220 is about 5488.1891366825. The cubic root of 30120220 is about 311.1377546154.

Adding to 30120220 its reverse (2202103), we get a palindrome (32322323).

The spelling of 30120220 in words is "thirty million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 37 52 62 65 74 101 124 130 148 155 185 202 260 310 370 403 404 481 505 620 740 806 962 1010 1147 1313 1612 1924 2015 2020 2294 2405 2626 3131 3737 4030 4588 4810 5252 5735 6262 6565 7474 8060 9620 11470 12524 13130 14911 14948 15655 18685 22940 26260 29822 31310 37370 40703 48581 59644 62620 74555 74740 81406 97162 115847 149110 162812 194324 203515 231694 242905 298220 407030 463388 485810 579235 814060 971620 1158470 1506011 2316940 3012022 6024044 7530055 15060110 30120220