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18429390 = 233573199
BaseRepresentation
bin100011001001…
…1010111001110
31021200022101000
41012103113032
514204220030
61455001130
7312435000
oct106232716
937608330
1018429390
11a448301
1262091a6
133a83585
14263a370
151940860
hex11935ce

18429390 has 128 divisors (see below), whose sum is σ = 57600000. Its totient is φ = 4191264.

The previous prime is 18429379. The next prime is 18429419. The reversal of 18429390 is 9392481.

18429390 = T141 + T142 + ... + T483.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 92511 + ... + 92709.

It is an arithmetic number, because the mean of its divisors is an integer number (450000).

Almost surely, 218429390 is an apocalyptic number.

18429390 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 18429390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28800000).

18429390 is an abundant number, since it is smaller than the sum of its proper divisors (39170610).

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

18429390 is a wasteful number, since it uses less digits than its factorization.

18429390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 18429390 is about 4292.9465405476. The cubic root of 18429390 is about 264.1417111081.

The spelling of 18429390 in words is "eighteen million, four hundred twenty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 199 210 245 270 294 315 343 378 398 441 490 597 630 686 735 882 945 995 1029 1194 1323 1393 1470 1715 1791 1890 1990 2058 2205 2646 2786 2985 3087 3430 3582 4179 4410 5145 5373 5970 6174 6615 6965 8358 8955 9261 9751 10290 10746 12537 13230 13930 15435 17910 18522 19502 20895 25074 26865 29253 30870 37611 41790 46305 48755 53730 58506 62685 68257 75222 87759 92610 97510 125370 136514 146265 175518 188055 204771 263277 292530 341285 376110 409542 438795 526554 614313 682570 877590 1023855 1228626 1316385 1842939 2047710 2632770 3071565 3685878 6143130 9214695 18429390