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20277306 = 2327236997
BaseRepresentation
bin100110101011…
…0100000111010
31102011012020100
41031112200322
520142333211
62002340230
7334232340
oct115264072
942135210
1020277306
111049a705
12695a676
13427c70a
14299b990
151ba8156
hex135683a

20277306 has 48 divisors (see below), whose sum is σ = 52401024. Its totient is φ = 5540832.

The previous prime is 20277287. The next prime is 20277319. The reversal of 20277306 is 60377202.

It is a super-2 number, since 2×202773062 = 822338277235272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20277306.

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, 601 + ... + 6396.

It is an arithmetic number, because the mean of its divisors is an integer number (1091688).

Almost surely, 220277306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20277306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26200512).

20277306 is an abundant number, since it is smaller than the sum of its proper divisors (32123718).

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

20277306 is a wasteful number, since it uses less digits than its factorization.

20277306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7035 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 20277306 is about 4503.0329778939. The cubic root of 20277306 is about 272.6905482065.

The spelling of 20277306 in words is "twenty million, two hundred seventy-seven thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 6997 13994 20991 41982 48979 62973 97958 125946 146937 160931 293874 321862 440811 482793 881622 965586 1126517 1448379 2253034 2896758 3379551 6759102 10138653 20277306