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20200068 = 22327711129
BaseRepresentation
bin100110100001…
…1101010000100
31102000021021200
41031003222010
520132400233
62000542500
7333461220
oct115035204
942007250
1020200068
1110447679
126921a30
134253505
14297b780
151b90313
hex1343a84

20200068 has 72 divisors (see below), whose sum is σ = 59230080. Its totient is φ = 5685120.

The previous prime is 20200057. The next prime is 20200087. The reversal of 20200068 is 86000202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20200068.

It is a congruent number.

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, 17328 + ... + 18456.

It is an arithmetic number, because the mean of its divisors is an integer number (822640).

Almost surely, 220200068 is an apocalyptic number.

20200068 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 20200068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29615040).

20200068 is an abundant number, since it is smaller than the sum of its proper divisors (39030012).

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

20200068 is a wasteful number, since it uses less digits than its factorization.

20200068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20200068 is about 4494.4485757432. The cubic root of 20200068 is about 272.3438737566.

The spelling of 20200068 in words is "twenty million, two hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1129 1278 1491 1988 2258 2556 2982 3387 4473 4516 5964 6774 7903 8946 10161 13548 15806 17892 20322 23709 31612 40644 47418 71127 80159 94836 142254 160318 240477 284508 320636 480954 561113 721431 961908 1122226 1442862 1683339 2244452 2885724 3366678 5050017 6733356 10100034 20200068