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30290850 = 2325283811
BaseRepresentation
bin111001110001…
…1001110100010
32002222221020100
41303203032202
530223301400
63001123230
7515316342
oct163431642
962887210
1030290850
1116109a67
12a189516
1363774a5
144046d22
1529d5100
hex1ce33a2

30290850 has 72 divisors (see below), whose sum is σ = 82463472. Its totient is φ = 7970400.

The previous prime is 30290833. The next prime is 30290851. The reversal of 30290850 is 5809203.

It is not an unprimeable number, because it can be changed into a prime (30290851) 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 35 ways as a sum of consecutive naturals, for example, 36945 + ... + 37755.

It is an arithmetic number, because the mean of its divisors is an integer number (1145326).

Almost surely, 230290850 is an apocalyptic number.

30290850 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 30290850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41231736).

30290850 is an abundant number, since it is smaller than the sum of its proper divisors (52172622).

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

30290850 is a wasteful number, since it uses less digits than its factorization.

30290850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 30290850 is about 5503.7123834735. The cubic root of 30290850 is about 311.7241768422.

The spelling of 30290850 in words is "thirty million, two hundred ninety thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 83 90 150 166 225 249 415 450 498 747 811 830 1245 1494 1622 2075 2433 2490 3735 4055 4150 4866 6225 7299 7470 8110 12165 12450 14598 18675 20275 24330 36495 37350 40550 60825 67313 72990 121650 134626 182475 201939 336565 364950 403878 605817 673130 1009695 1211634 1682825 2019390 3029085 3365650 5048475 6058170 10096950 15145425 30290850