Search a number
-
+
18121740 = 22357133319
BaseRepresentation
bin100010100100…
…0010000001100
31021002200100120
41011020100030
514114343430
61444224540
7310014030
oct105102014
937080316
1018121740
11a25814a
12609b150
1339a6530
14259a1c0
1518ce610
hex114840c

18121740 has 96 divisors (see below), whose sum is σ = 62469120. Its totient is φ = 3822336.

The previous prime is 18121721. The next prime is 18121759. The reversal of 18121740 is 4712181.

It is an interprime number because it is at equal distance from previous prime (18121721) and next prime (18121759).

It is a self number, because there is not a number n which added to its sum of digits gives 18121740.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3801 + ... + 7119.

It is an arithmetic number, because the mean of its divisors is an integer number (650720).

Almost surely, 218121740 is an apocalyptic number.

18121740 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 18121740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31234560).

18121740 is an abundant number, since it is smaller than the sum of its proper divisors (44347380).

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

18121740 is a wasteful number, since it uses less digits than its factorization.

18121740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 18121740 is about 4256.9637066811. The cubic root of 18121740 is about 262.6636439939.

The spelling of 18121740 in words is "eighteen million, one hundred twenty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 3319 5460 6638 9957 13276 16595 19914 23233 33190 39828 43147 46466 49785 66380 69699 86294 92932 99570 116165 129441 139398 172588 199140 215735 232330 258882 278796 302029 348495 431470 464660 517764 604058 647205 696990 862940 906087 1208116 1294410 1393980 1510145 1812174 2588820 3020290 3624348 4530435 6040580 9060870 18121740