Search a number
-
+
20541378 = 23111389269
BaseRepresentation
bin100111001011…
…0111111000010
31102122121110210
41032112333002
520224311003
62012134550
7336412254
oct116267702
942577423
1020541378
1110660050
126a67456
134342980
142a29cd4
151c0b503
hex1396fc2

20541378 has 64 divisors (see below), whose sum is σ = 48988800. Its totient is φ = 5660160.

The previous prime is 20541373. The next prime is 20541379. The reversal of 20541378 is 87314502.

It is not an unprimeable number, because it can be changed into a prime (20541371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76228 + ... + 76496.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 220541378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20541378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494400).

20541378 is an abundant number, since it is smaller than the sum of its proper divisors (28447422).

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

20541378 is a wasteful number, since it uses less digits than its factorization.

20541378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 20541378 is about 4532.2597012969. The cubic root of 20541378 is about 273.8691989393.

The spelling of 20541378 in words is "twenty million, five hundred forty-one thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 89 143 178 267 269 286 429 534 538 807 858 979 1157 1614 1958 2314 2937 2959 3471 3497 5874 5918 6942 6994 8877 10491 12727 17754 20982 23941 25454 38181 38467 47882 71823 76362 76934 115401 143646 230802 263351 311233 526702 622466 790053 933699 1580106 1867398 3423563 6847126 10270689 20541378