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117316080 = 2433577759
BaseRepresentation
bin1101111111000…
…01100111110000
322011202021102000
412333201213300
5220013103310
615350254000
72623112250
oct677414760
9264667360
10117316080
1160249342
1233357300
131b3c73cb
141181b960
15a4754c0
hex6fe19f0

117316080 has 160 divisors (see below), whose sum is σ = 461875200. Its totient is φ = 26811648.

The previous prime is 117316057. The next prime is 117316081. The reversal of 117316080 is 80613711.

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 (117316081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11241 + ... + 18999.

It is an arithmetic number, because the mean of its divisors is an integer number (2886720).

Almost surely, 2117316080 is an apocalyptic number.

117316080 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 117316080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230937600).

117316080 is an abundant number, since it is smaller than the sum of its proper divisors (344559120).

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

117316080 is a wasteful number, since it uses less digits than its factorization.

117316080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7788 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 117316080 is about 10831.2547749557. The cubic root of 117316080 is about 489.5373670360.

Adding to 117316080 its reverse (80613711), we get a palindrome (197929791).

The spelling of 117316080 in words is "one hundred seventeen million, three hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 7759 15120 15518 23277 31036 38795 46554 54313 62072 69831 77590 93108 108626 116385 124144 139662 155180 162939 186216 209493 217252 232770 271565 279324 310360 325878 349155 372432 418986 434504 465540 488817 543130 558648 620720 651756 698310 814695 837972 869008 931080 977634 1047465 1086260 1117296 1303512 1396620 1466451 1629390 1675944 1862160 1955268 2094930 2172520 2444085 2607024 2793240 2932902 3258780 3351888 3910536 4189860 4345040 4888170 5586480 5865804 6517560 7332255 7821072 8379720 9776340 11731608 13035120 14664510 16759440 19552680 23463216 29329020 39105360 58658040 117316080