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20806680 = 2335414229
BaseRepresentation
bin100111101011…
…1110000011000
31110011002101210
41033113300120
520311303210
62021543120
7341565606
oct117276030
943132353
1020806680
1110821404
126b74aa0
13440665b
142a98876
151c5ee20
hex13d7c18

20806680 has 64 divisors (see below), whose sum is σ = 63957600. Its totient is φ = 5411840.

The previous prime is 20806663. The next prime is 20806693. The reversal of 20806680 is 8660802.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2806 + ... + 7034.

Almost surely, 220806680 is an apocalyptic number.

20806680 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 20806680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31978800).

20806680 is an abundant number, since it is smaller than the sum of its proper divisors (43150920).

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

20806680 is a wasteful number, since it uses less digits than its factorization.

20806680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4280 counting only the distinct ones).

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

The square root of 20806680 is about 4561.4339850534. The cubic root of 20806680 is about 275.0432108408.

The spelling of 20806680 in words is "twenty million, eight hundred six 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 4229 4920 8458 12687 16916 21145 25374 33832 42290 50748 63435 84580 101496 126870 169160 173389 253740 346778 507480 520167 693556 866945 1040334 1387112 1733890 2080668 2600835 3467780 4161336 5201670 6935560 10403340 20806680