Search a number
-
+
55114020 = 22345132617
BaseRepresentation
bin1101001000111…
…1100100100100
310211201002020000
43102033210210
5103102122040
65245141300
71236314163
oct322174444
9124632200
1055114020
1129123a85
121655a830
13b559060
1474693da
154c8a130
hex348f924

55114020 has 120 divisors (see below), whose sum is σ = 186265464. Its totient is φ = 13561344.

The previous prime is 55114019. The next prime is 55114061. The reversal of 55114020 is 2041155.

It can be written as a sum of positive squares in 4 ways, for example, as 10036224 + 45077796 = 3168^2 + 6714^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 55113984 and 55114002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19752 + ... + 22368.

Almost surely, 255114020 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 55114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93132732).

55114020 is an abundant number, since it is smaller than the sum of its proper divisors (131151444).

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

55114020 is a wasteful number, since it uses less digits than its factorization.

55114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 55114020 is about 7423.8817339718. The cubic root of 55114020 is about 380.5578602245.

Adding to 55114020 its reverse (2041155), we get a palindrome (57155175).

The spelling of 55114020 in words is "fifty-five million, one hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 2617 3510 4212 5234 5265 7020 7851 10468 10530 13085 15702 21060 23553 26170 31404 34021 39255 47106 52340 68042 70659 78510 94212 102063 117765 136084 141318 157020 170105 204126 211977 235530 282636 306189 340210 353295 408252 423954 471060 510315 612378 680420 706590 847908 918567 1020630 1059885 1224756 1413180 1530945 1837134 2041260 2119770 2755701 3061890 3674268 4239540 4592835 5511402 6123780 9185670 11022804 13778505 18371340 27557010 55114020