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30288060 = 22335115099
BaseRepresentation
bin111001110001…
…0100010111100
32002222210102000
41303202202330
530223204220
63001102300
7515305245
oct163424274
962883360
1030288060
1116107960
12a187990
13637613a
144045ccc
1529d4390
hex1ce28bc

30288060 has 96 divisors (see below), whose sum is σ = 102816000. Its totient is φ = 7341120.

The previous prime is 30288043. The next prime is 30288061. The reversal of 30288060 is 6088203.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30288061) 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, 3391 + ... + 8489.

It is an arithmetic number, because the mean of its divisors is an integer number (1071000).

Almost surely, 230288060 is an apocalyptic number.

30288060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30288060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408000).

30288060 is an abundant number, since it is smaller than the sum of its proper divisors (72527940).

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

30288060 is a wasteful number, since it uses less digits than its factorization.

30288060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 30288060 is about 5503.4589123568. The cubic root of 30288060 is about 311.7146058865.

The spelling of 30288060 in words is "thirty million, two hundred eighty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5099 5940 10198 15297 20396 25495 30594 45891 50990 56089 61188 76485 91782 101980 112178 137673 152970 168267 183564 224356 229455 275346 280445 305940 336534 458910 504801 550692 560890 673068 688365 841335 917820 1009602 1121780 1376730 1514403 1682670 2019204 2524005 2753460 3028806 3365340 5048010 6057612 7572015 10096020 15144030 30288060