Search a number
-
+
5538780 = 2234513263
BaseRepresentation
bin10101001000001111011100
3101102101210000
4111020033130
52404220110
6314414300
765036022
oct25101734
911371700
105538780
113143405
121a31390
1311bc0b0
14a42712
157461c0
hex5483dc

5538780 has 120 divisors (see below), whose sum is σ = 18783072. Its totient is φ = 1358208.

The previous prime is 5538763. The next prime is 5538853. The reversal of 5538780 is 878355.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20929 + ... + 21191.

Almost surely, 25538780 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 5538780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391536).

5538780 is an abundant number, since it is smaller than the sum of its proper divisors (13244292).

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

5538780 is a wasteful number, since it uses less digits than its factorization.

5538780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5538780 is about 2353.4612807522. The cubic root of 5538780 is about 176.9313149186.

The spelling of 5538780 in words is "five million, five hundred thirty-eight thousand, seven hundred eighty".

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 90 108 117 130 135 156 162 180 195 234 260 263 270 324 351 390 405 468 526 540 585 702 780 789 810 1052 1053 1170 1315 1404 1578 1620 1755 2106 2340 2367 2630 3156 3419 3510 3945 4212 4734 5260 5265 6838 7020 7101 7890 9468 10257 10530 11835 13676 14202 15780 17095 20514 21060 21303 23670 28404 30771 34190 35505 41028 42606 47340 51285 61542 68380 71010 85212 92313 102570 106515 123084 142020 153855 184626 205140 213030 276939 307710 369252 426060 461565 553878 615420 923130 1107756 1384695 1846260 2769390 5538780