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30080106 = 23371731151
BaseRepresentation
bin111001010111…
…1110001101010
32002121020011000
41302233301222
530200030411
62552415430
7513451050
oct162576152
962536130
1030080106
1115a856a1
12a0a7576
1363025a4
143dd01d0
152992956
hex1cafc6a

30080106 has 128 divisors (see below), whose sum is σ = 84049920. Its totient is φ = 7776000.

The previous prime is 30080081. The next prime is 30080107. The reversal of 30080106 is 60108003.

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 (30080107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199131 + ... + 199281.

It is an arithmetic number, because the mean of its divisors is an integer number (656640).

Almost surely, 230080106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30080106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42024960).

30080106 is an abundant number, since it is smaller than the sum of its proper divisors (53969814).

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

30080106 is a wasteful number, since it uses less digits than its factorization.

30080106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 30080106 is about 5484.5333438680. The cubic root of 30080106 is about 310.9995692071. Note that the first 3 decimals are identical.

Adding to 30080106 its reverse (60108003), we get a palindrome (90188109).

The spelling of 30080106 in words is "thirty million, eighty thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 31 34 42 51 54 62 63 93 102 119 126 151 153 186 189 217 238 279 302 306 357 378 434 453 459 527 558 651 714 837 906 918 1054 1057 1071 1302 1359 1581 1674 1953 2114 2142 2567 2718 3162 3171 3213 3689 3906 4077 4681 4743 5134 5859 6342 6426 7378 7701 8154 9362 9486 9513 11067 11718 14043 14229 15402 17969 19026 22134 23103 28086 28458 28539 32767 33201 35938 42129 46206 53907 57078 65534 66402 69309 79577 84258 98301 99603 107814 126387 138618 159154 161721 196602 199206 238731 252774 294903 323442 477462 485163 557039 589806 716193 884709 970326 1114078 1432386 1671117 1769418 2148579 3342234 4297158 5013351 10026702 15040053 30080106