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19968210 = 23251271747
BaseRepresentation
bin100110000101…
…1000011010010
31101120111020100
41030023003102
520102440320
61551553230
7331504233
oct114130322
941514210
1019968210
11102a9459
12682b816
1341a1b12
14291b08a
151b46790
hex130b0d2

19968210 has 48 divisors (see below), whose sum is σ = 52356096. Its totient is φ = 5279904.

The previous prime is 19968203. The next prime is 19968229. The reversal of 19968210 is 1286991.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10557 + ... + 12303.

It is an arithmetic number, because the mean of its divisors is an integer number (1090752).

Almost surely, 219968210 is an apocalyptic number.

19968210 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 19968210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26178048).

19968210 is an abundant number, since it is smaller than the sum of its proper divisors (32387886).

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

19968210 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (19968209) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1887).

19968210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 19968210 is about 4468.5803114636. The cubic root of 19968210 is about 271.2978664987.

The spelling of 19968210 in words is "nineteen million, nine hundred sixty-eight thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1747 1905 2286 3494 3810 5241 5715 8735 10482 11430 15723 17470 26205 31446 52410 78615 157230 221869 443738 665607 1109345 1331214 1996821 2218690 3328035 3993642 6656070 9984105 19968210