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18917430 = 2357217757
BaseRepresentation
bin100100000101…
…0100000110110
31022121002211120
41020022200312
514320324210
61513244410
7316536600
oct110124066
938532746
1018917430
11a750a44
126403706
133bc475c
142726170
1519da270
hex120a836

18917430 has 96 divisors (see below), whose sum is σ = 55994976. Its totient is φ = 4064256.

The previous prime is 18917417. The next prime is 18917467. The reversal of 18917430 is 3471981.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 18917391 and 18917400.

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, 24612 + ... + 25368.

It is an arithmetic number, because the mean of its divisors is an integer number (583281).

Almost surely, 218917430 is an apocalyptic number.

18917430 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 18917430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27997488).

18917430 is an abundant number, since it is smaller than the sum of its proper divisors (37077546).

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

18917430 is a wasteful number, since it uses less digits than its factorization.

18917430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 18917430 is about 4349.4172023387. The cubic root of 18917430 is about 266.4530598439.

The spelling of 18917430 in words is "eighteen million, nine hundred seventeen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 294 357 490 510 595 714 735 757 833 1190 1470 1514 1666 1785 2271 2499 3570 3785 4165 4542 4998 5299 7570 8330 10598 11355 12495 12869 15897 22710 24990 25738 26495 31794 37093 38607 52990 64345 74186 77214 79485 90083 111279 128690 158970 180166 185465 193035 222558 270249 370930 386070 450415 540498 556395 630581 900830 1112790 1261162 1351245 1891743 2702490 3152905 3783486 6305810 9458715 18917430