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20111994 = 23271931271
BaseRepresentation
bin100110010111…
…0001001111010
31101211210110200
41030232021322
520122040434
61555023030
7332643360
oct114561172
941753420
1020111994
1110397491
12689aa76
1342223b6
142957630
151b74199
hex132e27a

20111994 has 96 divisors (see below), whose sum is σ = 54312960. Its totient is φ = 5248800.

The previous prime is 20111981. The next prime is 20111999. The reversal of 20111994 is 49911102.

It is not an unprimeable number, because it can be changed into a prime (20111999) 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 47 ways as a sum of consecutive naturals, for example, 74079 + ... + 74349.

It is an arithmetic number, because the mean of its divisors is an integer number (565760).

Almost surely, 220111994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27156480).

20111994 is an abundant number, since it is smaller than the sum of its proper divisors (34200966).

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

20111994 is a wasteful number, since it uses less digits than its factorization.

20111994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 20111994 is about 4484.6397848657. The cubic root of 20111994 is about 271.9474830125.

It can be divided in two parts, 2011 and 1994, that added together give a triangular number (4005 = T89).

The spelling of 20111994 in words is "twenty million, one hundred eleven thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 271 279 342 399 434 542 558 589 651 798 813 1178 1197 1302 1626 1767 1897 1953 2394 2439 3534 3794 3906 4123 4878 5149 5301 5691 8246 8401 10298 10602 11382 12369 15447 16802 17073 24738 25203 30894 34146 36043 37107 46341 50406 58807 72086 74214 75609 92682 108129 117614 151218 159619 176421 216258 319238 324387 352842 478857 529263 648774 957714 1058526 1117333 1436571 2234666 2873142 3351999 6703998 10055997 20111994