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20003340 = 2235797491
BaseRepresentation
bin100110001001…
…1101000001100
31101122021102110
41030103220030
520110101330
61552424020
7332011530
oct114235014
941567373
1020003340
1110322895
126848010
1341b4ac6
142929bc0
151b51db0
hex1313a0c

20003340 has 96 divisors (see below), whose sum is σ = 64802304. Its totient is φ = 4515840.

The previous prime is 20003317. The next prime is 20003369. The reversal of 20003340 is 4330002.

It is a super-2 number, since 2×200033402 = 800267222311200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 40495 + ... + 40985.

It is an arithmetic number, because the mean of its divisors is an integer number (675024).

Almost surely, 220003340 is an apocalyptic number.

20003340 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 20003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32401152).

20003340 is an abundant number, since it is smaller than the sum of its proper divisors (44798964).

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

20003340 is a wasteful number, since it uses less digits than its factorization.

20003340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 20003340 is about 4472.5093627627. The cubic root of 20003340 is about 271.4568710765.

Adding to 20003340 its reverse (4330002), we get a palindrome (24333342).

The spelling of 20003340 in words is "twenty million, three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 97 105 140 194 210 291 388 420 485 491 582 679 970 982 1164 1358 1455 1473 1940 1964 2037 2455 2716 2910 2946 3395 3437 4074 4910 5820 5892 6790 6874 7365 8148 9820 10185 10311 13580 13748 14730 17185 20370 20622 29460 34370 40740 41244 47627 51555 68740 95254 103110 142881 190508 206220 238135 285762 333389 476270 571524 666778 714405 952540 1000167 1333556 1428810 1666945 2000334 2857620 3333890 4000668 5000835 6667780 10001670 20003340