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20329380 = 223554789
BaseRepresentation
bin100110110001…
…1001110100100
31102020211200000
41031203032210
520201020010
62003421300
7334540221
oct115431644
942224600
1020329380
1110525845
126984830
13429a326
1429b2948
151bb87c0
hex13633a4

20329380 has 144 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 5246208.

The previous prime is 20329363. The next prime is 20329417. The reversal of 20329380 is 8392302.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228376 + ... + 228464.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 220329380 is an apocalyptic number.

20329380 is a gapful number since it is divisible by the number (20) 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 20329380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

20329380 is an abundant number, since it is smaller than the sum of its proper divisors (45714780).

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

20329380 is a wasteful number, since it uses less digits than its factorization.

20329380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20329380 is about 4508.8113733001. The cubic root of 20329380 is about 272.9237801952.

The spelling of 20329380 in words is "twenty million, three hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 89 90 94 108 135 141 162 178 180 188 235 243 267 270 282 324 356 405 423 445 470 486 534 540 564 705 801 810 846 890 940 972 1068 1215 1269 1335 1410 1602 1620 1692 1780 2115 2403 2430 2538 2670 2820 3204 3807 4005 4183 4230 4806 4860 5076 5340 6345 7209 7614 8010 8366 8460 9612 11421 12015 12549 12690 14418 15228 16020 16732 19035 20915 21627 22842 24030 25098 25380 28836 36045 37647 38070 41830 43254 45684 48060 50196 57105 62745 72090 75294 76140 83660 86508 108135 112941 114210 125490 144180 150588 188235 216270 225882 228420 250980 338823 376470 432540 451764 564705 677646 752940 1016469 1129410 1355292 1694115 2032938 2258820 3388230 4065876 5082345 6776460 10164690 20329380