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90006030 = 23258312049
BaseRepresentation
bin1010101110101…
…10001000001110
320021100210001200
411113112020032
5141020143110
612533050330
72142016152
oct527261016
9207323050
1090006030
1146895954
12261869a6
131585490a
14bd4d062
157d7d6c0
hex55d620e

90006030 has 48 divisors (see below), whose sum is σ = 236854800. Its totient is φ = 23710464.

The previous prime is 90006023. The next prime is 90006047. The reversal of 90006030 is 3060009.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 90005994 and 90006012.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1446 + ... + 13494.

It is an arithmetic number, because the mean of its divisors is an integer number (4934475).

Almost surely, 290006030 is an apocalyptic number.

90006030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90006030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118427400).

90006030 is an abundant number, since it is smaller than the sum of its proper divisors (146848770).

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

90006030 is a wasteful number, since it uses less digits than its factorization.

90006030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12145 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 90006030 is about 9487.1507840869. The cubic root of 90006030 is about 448.1504829028.

Adding to 90006030 its reverse (3060009), we get a palindrome (93066039).

The spelling of 90006030 in words is "ninety million, six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 3735 7470 12049 24098 36147 60245 72294 108441 120490 180735 216882 361470 542205 1000067 1084410 2000134 3000201 5000335 6000402 9000603 10000670 15001005 18001206 30002010 45003015 90006030