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20009808 = 2433713509
BaseRepresentation
bin100110001010…
…1001101010000
31101122121022000
41030111031100
520110303213
61552514000
7332036430
oct114251520
941577260
1020009808
1110327735
12684b900
1341b7a30
14292c2c0
151b53c73
hex1315350

20009808 has 160 divisors (see below), whose sum is σ = 70828800. Its totient is φ = 5266944.

The previous prime is 20009761. The next prime is 20009813. The reversal of 20009808 is 80890002.

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 31 ways as a sum of consecutive naturals, for example, 39058 + ... + 39566.

It is an arithmetic number, because the mean of its divisors is an integer number (442680).

Almost surely, 220009808 is an apocalyptic number.

20009808 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 20009808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35414400).

20009808 is an abundant number, since it is smaller than the sum of its proper divisors (50818992).

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

20009808 is a wasteful number, since it uses less digits than its factorization.

20009808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 20009808 is about 4473.2323883295. The cubic root of 20009808 is about 271.4861260881.

The spelling of 20009808 in words is "twenty million, nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 509 546 624 702 728 756 819 936 1008 1018 1092 1404 1456 1512 1527 1638 1872 2036 2184 2457 2808 3024 3054 3276 3563 4072 4368 4581 4914 5616 6108 6552 6617 7126 8144 9162 9828 10689 12216 13104 13234 13743 14252 18324 19656 19851 21378 24432 26468 27486 28504 32067 36648 39312 39702 42756 46319 52936 54972 57008 59553 64134 73296 79404 85512 92638 96201 105872 109944 119106 128268 138957 158808 171024 178659 185276 192402 219888 238212 256536 277914 317616 357318 370552 384804 416871 476424 513072 555828 714636 741104 769608 833742 952848 1111656 1250613 1429272 1539216 1667484 2223312 2501226 2858544 3334968 5002452 6669936 10004904 20009808