Search a number
-
+
18010440 = 23325721021
BaseRepresentation
bin100010010110…
…1000101001000
31020220000200100
41010231011020
514102313230
61442005400
7306041400
oct104550510
936800610
1018010440
11a191568
126046860
133967986
14256b800
1518ab660
hex112d148

18010440 has 144 divisors (see below), whose sum is σ = 68157180. Its totient is φ = 4112640.

The previous prime is 18010387. The next prime is 18010451. The reversal of 18010440 is 4401081.

It can be written as a sum of positive squares in 2 ways, for example, as 17994564 + 15876 = 4242^2 + 126^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17130 + ... + 18150.

Almost surely, 218010440 is an apocalyptic number.

18010440 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 18010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34078590).

18010440 is an abundant number, since it is smaller than the sum of its proper divisors (50146740).

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

18010440 is a wasteful number, since it uses less digits than its factorization.

18010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 18010440 is about 4243.8708745672. The cubic root of 18010440 is about 262.1247972953.

The spelling of 18010440 in words is "eighteen million, ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1021 1176 1260 1470 1764 1960 2042 2205 2520 2940 3063 3528 4084 4410 5105 5880 6126 7147 8168 8820 9189 10210 12252 14294 15315 17640 18378 20420 21441 24504 28588 30630 35735 36756 40840 42882 45945 50029 57176 61260 64323 71470 73512 85764 91890 100058 107205 122520 128646 142940 150087 171528 183780 200116 214410 250145 257292 285880 300174 321615 367560 400232 428820 450261 500290 514584 600348 643230 750435 857640 900522 1000580 1200696 1286460 1500870 1801044 2001160 2251305 2572920 3001740 3602088 4502610 6003480 9005220 18010440