Search a number
-
+
117808080 = 24351361619
BaseRepresentation
bin1110000010110…
…01101111010000
322012200021022020
413001121233100
5220124324310
615405011440
72630231535
oct701315720
9265607266
10117808080
1160554a55
1233553b80
131b53a330
1411908d8c
15a521170
hex7059bd0

117808080 has 160 divisors (see below), whose sum is σ = 400391040. Its totient is φ = 28477440.

The previous prime is 117808069. The next prime is 117808157. The reversal of 117808080 is 80808711.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 190011 + ... + 190629.

It is an arithmetic number, because the mean of its divisors is an integer number (2502444).

Almost surely, 2117808080 is an apocalyptic number.

117808080 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 117808080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200195520).

117808080 is an abundant number, since it is smaller than the sum of its proper divisors (282582960).

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

117808080 is a wasteful number, since it uses less digits than its factorization.

117808080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

The square root of 117808080 is about 10853.9430623161. The cubic root of 117808080 is about 490.2207529549.

The spelling of 117808080 in words is "one hundred seventeen million, eight hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 61 65 78 80 104 120 122 130 156 183 195 208 240 244 260 305 312 366 390 488 520 610 619 624 732 780 793 915 976 1040 1220 1238 1464 1560 1586 1830 1857 2379 2440 2476 2928 3095 3120 3172 3660 3714 3965 4758 4880 4952 6190 6344 7320 7428 7930 8047 9285 9516 9904 11895 12380 12688 14640 14856 15860 16094 18570 19032 23790 24141 24760 29712 31720 32188 37140 37759 38064 40235 47580 48282 49520 63440 64376 74280 75518 80470 95160 96564 113277 120705 128752 148560 151036 160940 188795 190320 193128 226554 241410 302072 321880 377590 386256 453108 482820 490867 566385 604144 643760 755180 906216 965640 981734 1132770 1472601 1510360 1812432 1931280 1963468 2265540 2454335 2945202 3020720 3926936 4531080 4908670 5890404 7363005 7853872 9062160 9817340 11780808 14726010 19634680 23561616 29452020 39269360 58904040 117808080