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20068680 = 2335414079
BaseRepresentation
bin100110010001…
…1100101001000
31101202121001110
41030203211020
520114144210
61554050320
7332403162
oct114434510
941677043
1020068680
1110367995
1268799a0
134208778
142945932
151b66420
hex1323948

20068680 has 64 divisors (see below), whose sum is σ = 61689600. Its totient is φ = 5219840.

The previous prime is 20068679. The next prime is 20068691. The reversal of 20068680 is 8686002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2881 + ... + 6959.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 220068680 is an apocalyptic number.

20068680 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 20068680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844800).

20068680 is an abundant number, since it is smaller than the sum of its proper divisors (41620920).

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

20068680 is a wasteful number, since it uses less digits than its factorization.

20068680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 20068680 is about 4479.8080316014. The cubic root of 20068680 is about 271.7521170132.

The spelling of 20068680 in words is "twenty million, sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4079 4920 8158 12237 16316 20395 24474 32632 40790 48948 61185 81580 97896 122370 163160 167239 244740 334478 489480 501717 668956 836195 1003434 1337912 1672390 2006868 2508585 3344780 4013736 5017170 6689560 10034340 20068680