Search a number
-
+
117181080 = 2334559613
BaseRepresentation
bin1101111110000…
…00101010011000
322011111102020000
412333000222120
5214444243310
615343333000
72622010542
oct677005230
9264442200
10117181080
1160166975
12332b1160
131b37ab23
14117c4692
15a44a4c0
hex6fc0a98

117181080 has 160 divisors (see below), whose sum is σ = 401187600. Its totient is φ = 30668544.

The previous prime is 117181073. The next prime is 117181081. The reversal of 117181080 is 80181711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117181081) 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 39 ways as a sum of consecutive naturals, for example, 190854 + ... + 191466.

Almost surely, 2117181080 is an apocalyptic number.

117181080 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 117181080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200593800).

117181080 is an abundant number, since it is smaller than the sum of its proper divisors (284006520).

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

117181080 is a wasteful number, since it uses less digits than its factorization.

117181080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 27.

The square root of 117181080 is about 10825.0210161459. The cubic root of 117181080 is about 489.3495186450.

The spelling of 117181080 in words is "one hundred seventeen million, one hundred eighty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 59 60 72 81 90 108 118 120 135 162 177 180 216 236 270 295 324 354 360 405 472 531 540 590 613 648 708 810 885 1062 1080 1180 1226 1416 1593 1620 1770 1839 2124 2360 2452 2655 3065 3186 3240 3540 3678 4248 4779 4904 5310 5517 6130 6372 7080 7356 7965 9195 9558 10620 11034 12260 12744 14712 15930 16551 18390 19116 21240 22068 23895 24520 27585 31860 33102 36167 36780 38232 44136 47790 49653 55170 63720 66204 72334 73560 82755 95580 99306 108501 110340 132408 144668 165510 180835 191160 198612 217002 220680 248265 289336 325503 331020 361670 397224 434004 496530 542505 651006 662040 723340 868008 976509 993060 1085010 1302012 1446680 1627515 1953018 1986120 2170020 2604024 2929527 3255030 3906036 4340040 4882545 5859054 6510060 7812072 9765090 11718108 13020120 14647635 19530180 23436216 29295270 39060360 58590540 117181080