Search a number
-
+
118946070 = 2355311579
BaseRepresentation
bin1110001011011…
…11100100010110
322021211002100000
413011233210112
5220422233240
615445232130
72643011355
oct705574426
9267732300
10118946070
1161161a41
1233a02646
131b8482b9
1411b2399c
15a698430
hex716f916

118946070 has 96 divisors (see below), whose sum is σ = 331269120. Its totient is φ = 30676320.

The previous prime is 118946063. The next prime is 118946071. The reversal of 118946070 is 70649811.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118946071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74541 + ... + 76119.

It is an arithmetic number, because the mean of its divisors is an integer number (3450720).

Almost surely, 2118946070 is an apocalyptic number.

118946070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 118946070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165634560).

118946070 is an abundant number, since it is smaller than the sum of its proper divisors (212323050).

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

118946070 is a wasteful number, since it uses less digits than its factorization.

118946070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 118946070 is about 10906.2399570154. The cubic root of 118946070 is about 491.7941583899.

It can be divided in two parts, 11 and 8946070, that added together give a square (8946081 = 29912).

The spelling of 118946070 in words is "one hundred eighteen million, nine hundred forty-six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 243 270 279 310 405 465 486 558 810 837 930 1215 1395 1579 1674 2430 2511 2790 3158 4185 4737 5022 7533 7895 8370 9474 12555 14211 15066 15790 23685 25110 28422 37665 42633 47370 48949 71055 75330 85266 97898 127899 142110 146847 213165 244745 255798 293694 383697 426330 440541 489490 639495 734235 767394 881082 1278990 1321623 1468470 1918485 2202705 2643246 3836970 3964869 4405410 6608115 7929738 11894607 13216230 19824345 23789214 39648690 59473035 118946070