Search a number
-
+
181815840 = 2534514029
BaseRepresentation
bin10101101011001…
…00101000100000
3110200010012110000
422311210220200
5333021101330
630012540000
74335260223
oct1265445040
9420105400
10181815840
11936a2a28
1250a81600
132b88b54b
141a20b5ba
1510e66560
hexad64a20

181815840 has 120 divisors (see below), whose sum is σ = 641704140. Its totient is φ = 48480768.

The previous prime is 181815773. The next prime is 181815841. The reversal of 181815840 is 48518181.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 156050064 + 25765776 = 12492^2 + 5076^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 181815795 and 181815804.

It is not an unprimeable number, because it can be changed into a prime (181815841) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5946 + ... + 19974.

Almost surely, 2181815840 is an apocalyptic number.

181815840 is a gapful number since it is divisible by the number (10) 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 181815840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320852070).

181815840 is an abundant number, since it is smaller than the sum of its proper divisors (459888300).

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

181815840 is a wasteful number, since it uses less digits than its factorization.

181815840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14056 (or 14039 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 181815840 is about 13483.9104120429. The cubic root of 181815840 is about 566.5139026888.

The spelling of 181815840 in words is "one hundred eighty-one million, eight hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 14029 28058 42087 56116 70145 84174 112232 126261 140290 168348 210435 224464 252522 280580 336696 378783 420870 448928 505044 561160 631305 673392 757566 841740 1010088 1122320 1136349 1262610 1346784 1515132 1683480 1893915 2020176 2244640 2272698 2525220 3030264 3366960 3787830 4040352 4545396 5050440 5681745 6060528 6733920 7575660 9090792 10100880 11363490 12121056 15151320 18181584 20201760 22726980 30302640 36363168 45453960 60605280 90907920 181815840