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20348820 = 223555379
BaseRepresentation
bin100110110011…
…1111110010100
31102021211100000
41031213332110
520202130240
62004051300
7334651002
oct115477624
942254300
1020348820
1110539408
126993b30
1342a612b
1429b9a72
151bbe430
hex1367f94

20348820 has 144 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 5256576.

The previous prime is 20348819. The next prime is 20348837. The reversal of 20348820 is 2884302.

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

It is a congruent number.

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, 257541 + ... + 257619.

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

Almost surely, 220348820 is an apocalyptic number.

20348820 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 20348820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

20348820 is an abundant number, since it is smaller than the sum of its proper divisors (45695340).

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

20348820 is a wasteful number, since it uses less digits than its factorization.

20348820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20348820 is about 4510.9666369859. The cubic root of 20348820 is about 273.0107470712.

The spelling of 20348820 in words is "twenty million, three hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 79 81 90 106 108 135 158 159 162 180 212 237 243 265 270 316 318 324 395 405 474 477 486 530 540 636 711 790 795 810 948 954 972 1060 1185 1215 1422 1431 1580 1590 1620 1908 2133 2370 2385 2430 2844 2862 3180 3555 4187 4266 4293 4740 4770 4860 5724 6399 7110 7155 8374 8532 8586 9540 10665 12561 12798 12879 14220 14310 16748 17172 19197 20935 21330 21465 25122 25596 25758 28620 31995 37683 38394 41870 42660 42930 50244 51516 62805 63990 64395 75366 76788 83740 85860 95985 113049 125610 127980 128790 150732 188415 191970 226098 251220 257580 339147 376830 383940 452196 565245 678294 753660 1017441 1130490 1356588 1695735 2034882 2260980 3391470 4069764 5087205 6782940 10174410 20348820