[go: up one dir, main page]

Search a number
-
+
20693112 = 23311103761
BaseRepresentation
bin100111011110…
…0000001111000
31102221022121120
41032330001320
520244134422
62015305240
7340613526
oct116740170
942838546
1020693112
1110754050
126b1b220
134396a5b
142a69316
151c3b45c
hex13bc078

20693112 has 64 divisors (see below), whose sum is σ = 57058560. Its totient is φ = 6201600.

The previous prime is 20693087. The next prime is 20693149. The reversal of 20693112 is 21139602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26812 + ... + 27572.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 220693112 is an apocalyptic number.

20693112 is a gapful number since it is divisible by the number (22) 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 20693112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28529280).

20693112 is an abundant number, since it is smaller than the sum of its proper divisors (36365448).

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

20693112 is a wasteful number, since it uses less digits than its factorization.

20693112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 20693112 is about 4548.9682346660. The cubic root of 20693112 is about 274.5418796690.

The spelling of 20693112 in words is "twenty million, six hundred ninety-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 618 761 824 1133 1236 1522 2266 2283 2472 3044 3399 4532 4566 6088 6798 8371 9064 9132 13596 16742 18264 25113 27192 33484 50226 66968 78383 100452 156766 200904 235149 313532 470298 627064 862213 940596 1724426 1881192 2586639 3448852 5173278 6897704 10346556 20693112