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30120090 = 235711131759
BaseRepresentation
bin111001011100…
…1100010011010
32002200020222220
41302321202122
530202320330
62553324510
7514005450
oct162714232
962606886
1030120090
1116002740
12a106736
136317850
1440009d0
15299e710
hex1cb989a

30120090 has 256 divisors, whose sum is σ = 104509440. Its totient is φ = 5345280.

The previous prime is 30120061. The next prime is 30120113. The reversal of 30120090 is 9002103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 510481 + ... + 510539.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 230120090 is an apocalyptic number.

30120090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30120090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

30120090 is an abundant number, since it is smaller than the sum of its proper divisors (74389350).

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

30120090 is a wasteful number, since it uses less digits than its factorization.

30120090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 30120090 is about 5488.1772930546. The cubic root of 30120090 is about 311.1373069873.

Adding to 30120090 its reverse (9002103), we get a palindrome (39122193).

The spelling of 30120090 in words is "thirty million, one hundred twenty thousand, ninety".