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20377084 = 22713173789
BaseRepresentation
bin100110110111…
…0110111111100
31102100021002211
41031232313330
520204031314
62004430204
7335126260
oct115566774
942307084
1020377084
1110558672
1269a8364
1342b5c60
1429c60a0
151bc79c4
hex136edfc

20377084 has 96 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 7299072.

The previous prime is 20377043. The next prime is 20377087. The reversal of 20377084 is 48077302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20377087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228912 + ... + 229000.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 220377084 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 20377084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

20377084 is an abundant number, since it is smaller than the sum of its proper divisors (27885956).

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

20377084 is a wasteful number, since it uses less digits than its factorization.

20377084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 20377084 is about 4514.0983595841. The cubic root of 20377084 is about 273.1370902841.

The spelling of 20377084 in words is "twenty million, three hundred seventy-seven thousand, eighty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 37 52 68 74 89 91 119 148 178 182 221 238 259 356 364 442 476 481 518 623 629 884 962 1036 1157 1246 1258 1513 1547 1924 2314 2492 2516 3026 3094 3293 3367 4403 4628 6052 6188 6586 6734 8099 8177 8806 10591 13172 13468 16198 16354 17612 19669 21182 23051 32396 32708 39338 42364 42809 46102 55981 57239 78676 85618 92204 111962 114478 137683 171236 223924 228956 275366 299663 391867 550732 599326 727753 783734 1198652 1455506 1567468 2911012 5094271 10188542 20377084