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20086720 = 265411531
BaseRepresentation
bin100110010011…
…1111111000000
31101210111210121
41030213333000
520120233340
61554310024
7332506603
oct114477700
941714717
1020086720
111037a4a5
126888314
134213a44
14294c33a
151b6b94a
hex1327fc0

20086720 has 56 divisors (see below), whose sum is σ = 49030128. Its totient is φ = 7833600.

The previous prime is 20086709. The next prime is 20086739. The reversal of 20086720 is 2768002.

It is a zygodrome in base 8.

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 7 ways as a sum of consecutive naturals, for example, 12355 + ... + 13885.

It is an arithmetic number, because the mean of its divisors is an integer number (875538).

Almost surely, 220086720 is an apocalyptic number.

20086720 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 20086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24515064).

20086720 is an abundant number, since it is smaller than the sum of its proper divisors (28943408).

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

20086720 is a wasteful number, since it uses less digits than its factorization.

20086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 20086720 is about 4481.8210584538. The cubic root of 20086720 is about 271.8335198090.

The spelling of 20086720 in words is "twenty million, eighty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1531 1640 2624 3062 3280 6124 6560 7655 12248 13120 15310 24496 30620 48992 61240 62771 97984 122480 125542 244960 251084 313855 489920 502168 627710 1004336 1255420 2008672 2510840 4017344 5021680 10043360 20086720