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18429320 = 2357136183
BaseRepresentation
bin100011001001…
…1010110001000
31021200022021102
41012103112020
514204214240
61455000532
7312434540
oct106232610
937608242
1018429320
11a448248
126209148
133a83530
14263a320
151940815
hex1193588

18429320 has 128 divisors (see below), whose sum is σ = 52496640. Its totient is φ = 5667840.

The previous prime is 18429317. The next prime is 18429337. The reversal of 18429320 is 2392481.

18429320 = T25 + T26 + ... + T479.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221999 + ... + 222081.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 218429320 is an apocalyptic number.

18429320 is a gapful number since it is divisible by the number (10) 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 18429320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

18429320 is an abundant number, since it is smaller than the sum of its proper divisors (34067320).

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

18429320 is a wasteful number, since it uses less digits than its factorization.

18429320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 18429320 is about 4292.9383876315. The cubic root of 18429320 is about 264.1413766796.

The spelling of 18429320 in words is "eighteen million, four hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 61 65 70 83 91 104 122 130 140 166 182 244 260 280 305 332 364 415 427 455 488 520 581 610 664 728 793 830 854 910 1079 1162 1220 1586 1660 1708 1820 2135 2158 2324 2440 2905 3172 3320 3416 3640 3965 4270 4316 4648 5063 5395 5551 5810 6344 7553 7930 8540 8632 10126 10790 11102 11620 15106 15860 17080 20252 21580 22204 23240 25315 27755 30212 31720 35441 37765 40504 43160 44408 50630 55510 60424 65819 70882 75530 101260 111020 131638 141764 151060 177205 202520 222040 263276 283528 302120 329095 354410 460733 526552 658190 708820 921466 1316380 1417640 1842932 2303665 2632760 3685864 4607330 9214660 18429320