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18294150 = 23527219131
BaseRepresentation
bin100010111001…
…0010110000110
31021102102212010
41011302112012
514140403100
61452035050
7311332500
oct105622606
937372763
1018294150
11a365736
126162a86
133a36b54
142602d70
151915750
hex1172586

18294150 has 144 divisors (see below), whose sum is σ = 55978560. Its totient is φ = 3931200.

The previous prime is 18294137. The next prime is 18294151. The reversal of 18294150 is 5149281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18294151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139585 + ... + 139715.

It is an arithmetic number, because the mean of its divisors is an integer number (388740).

Almost surely, 218294150 is an apocalyptic number.

18294150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18294150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989280).

18294150 is an abundant number, since it is smaller than the sum of its proper divisors (37684410).

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

18294150 is a wasteful number, since it uses less digits than its factorization.

18294150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 18294150 is about 4277.1661178869. The cubic root of 18294150 is about 263.4940090118.

The spelling of 18294150 in words is "eighteen million, two hundred ninety-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 49 50 57 70 75 95 98 105 114 131 133 147 150 175 190 210 245 262 266 285 294 350 393 399 475 490 525 570 655 665 735 786 798 917 931 950 1050 1225 1310 1330 1425 1470 1834 1862 1965 1995 2450 2489 2751 2793 2850 3275 3325 3675 3930 3990 4585 4655 4978 5502 5586 6419 6550 6650 7350 7467 9170 9310 9825 9975 12445 12838 13755 13965 14934 17423 19257 19650 19950 22925 23275 24890 27510 27930 32095 34846 37335 38514 45850 46550 52269 62225 64190 68775 69825 74670 87115 96285 104538 121961 124450 137550 139650 160475 174230 186675 192570 243922 261345 320950 365883 373350 435575 481425 522690 609805 731766 871150 962850 1219610 1306725 1829415 2613450 3049025 3658830 6098050 9147075 18294150