[go: up one dir, main page]

Search a number
-
+
118308240 = 24325374441
BaseRepresentation
bin1110000110100…
…11110110010000
322020121200101200
413003103312100
5220241330430
615423431200
72634413661
oct703236620
9266550350
10118308240
1160866806
1233755500
131b683b9b
14119d9368
15a5be460
hex70d3d90

118308240 has 120 divisors (see below), whose sum is σ = 408148728. Its totient is φ = 30689280.

The previous prime is 118308227. The next prime is 118308241. The reversal of 118308240 is 42803811.

118308240 is a `hidden beast` number, since 118 + 308 + 240 = 666.

118308240 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 91929744 = 5136^2 + 9588^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118308241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24420 + ... + 28860.

Almost surely, 2118308240 is an apocalyptic number.

118308240 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 118308240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204074364).

118308240 is an abundant number, since it is smaller than the sum of its proper divisors (289840488).

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

118308240 is a wasteful number, since it uses less digits than its factorization.

118308240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 118308240 is about 10876.9591338756. The cubic root of 118308240 is about 490.9135255866.

The spelling of 118308240 in words is "one hundred eighteen million, three hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 4441 5328 6660 8880 8882 13320 13323 17764 22205 26640 26646 35528 39969 44410 53292 66615 71056 79938 88820 106584 133230 159876 164317 177640 199845 213168 266460 319752 328634 355280 399690 492951 532920 639504 657268 799380 821585 985902 1065840 1314536 1478853 1598760 1643170 1971804 2464755 2629072 2957706 3197520 3286340 3943608 4929510 5915412 6572680 7394265 7887216 9859020 11830824 13145360 14788530 19718040 23661648 29577060 39436080 59154120 118308240