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20086092 = 223213167257
BaseRepresentation
bin100110010011…
…1110101001100
31101210110221100
41030213311030
520120223332
61554303100
7332505015
oct114476514
941713840
1020086092
1110379a84
126887a90
134213680
14294c00c
151b6b67c
hex1327d4c

20086092 has 72 divisors (see below), whose sum is σ = 55220256. Its totient is φ = 6119424.

The previous prime is 20086091. The next prime is 20086093. The reversal of 20086092 is 29068002.

It is an interprime number because it is at equal distance from previous prime (20086091) and next prime (20086093).

It is not an unprimeable number, because it can be changed into a prime (20086091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 78028 + ... + 78284.

It is an arithmetic number, because the mean of its divisors is an integer number (766948).

Almost surely, 220086092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20086092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27610128).

20086092 is an abundant number, since it is smaller than the sum of its proper divisors (35134164).

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

20086092 is a wasteful number, since it uses less digits than its factorization.

20086092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20086092 is about 4481.7509970992. The cubic root of 20086092 is about 271.8306868721.

It can be divided in two parts, 2008 and 6092, that added together give a square (8100 = 902).

The spelling of 20086092 in words is "twenty million, eighty-six thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 167 234 257 334 468 501 514 668 771 1002 1028 1503 1542 2004 2171 2313 3006 3084 3341 4342 4626 6012 6513 6682 8684 9252 10023 13026 13364 19539 20046 26052 30069 39078 40092 42919 60138 78156 85838 120276 128757 171676 257514 386271 515028 557947 772542 1115894 1545084 1673841 2231788 3347682 5021523 6695364 10043046 20086092