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20350008 = 2333743313
BaseRepresentation
bin100110110100…
…0010000111000
31102021212222000
41031220100320
520202200013
62004101000
7334654320
oct115502070
942255860
1020350008
111053a298
126994760
1342a6833
1429ba280
151bbe973
hex1368438

20350008 has 128 divisors (see below), whose sum is σ = 66316800. Its totient is φ = 5660928.

The previous prime is 20349997. The next prime is 20350049. The reversal of 20350008 is 80005302.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 64860 + ... + 65172.

It is an arithmetic number, because the mean of its divisors is an integer number (518100).

Almost surely, 220350008 is an apocalyptic number.

20350008 is a gapful number since it is divisible by the number (28) 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 20350008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33158400).

20350008 is an abundant number, since it is smaller than the sum of its proper divisors (45966792).

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

20350008 is a wasteful number, since it uses less digits than its factorization.

20350008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20350008 is about 4511.0983141581. The cubic root of 20350008 is about 273.0160599174.

The spelling of 20350008 in words is "twenty million, three hundred fifty thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 84 86 108 126 129 168 172 189 216 252 258 301 313 344 378 387 504 516 602 626 756 774 903 939 1032 1161 1204 1252 1512 1548 1806 1878 2191 2322 2408 2504 2709 2817 3096 3612 3756 4382 4644 5418 5634 6573 7224 7512 8127 8451 8764 9288 10836 11268 13146 13459 16254 16902 17528 19719 21672 22536 26292 26918 32508 33804 39438 40377 52584 53836 59157 65016 67608 78876 80754 94213 107672 118314 121131 157752 161508 188426 236628 242262 282639 323016 363393 376852 473256 484524 565278 726786 753704 847917 969048 1130556 1453572 1695834 2261112 2543751 2907144 3391668 5087502 6783336 10175004 20350008