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117159480 = 23335831307
BaseRepresentation
bin1101111101110…
…11011000111000
322011110022121000
412332323120320
5214443100410
615343045000
72621560554
oct676733070
9264408530
10117159480
1160151719
12332a0760
131b371049
14117ba864
15a443dc0
hex6fbb638

117159480 has 128 divisors (see below), whose sum is σ = 395539200. Its totient is φ = 30842496.

The previous prime is 117159479. The next prime is 117159487. The reversal of 117159480 is 84951711.

117159480 is a `hidden beast` number, since 1 + 171 + 5 + 9 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117159487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88987 + ... + 90293.

It is an arithmetic number, because the mean of its divisors is an integer number (3090150).

Almost surely, 2117159480 is an apocalyptic number.

117159480 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 117159480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197769600).

117159480 is an abundant number, since it is smaller than the sum of its proper divisors (278379720).

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

117159480 is a wasteful number, since it uses less digits than its factorization.

117159480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 117159480 is about 10824.0232815714. The cubic root of 117159480 is about 489.3194495158.

The spelling of 117159480 in words is "one hundred seventeen million, one hundred fifty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 83 90 108 120 135 166 180 216 249 270 332 360 415 498 540 664 747 830 996 1080 1245 1307 1494 1660 1992 2241 2490 2614 2988 3320 3735 3921 4482 4980 5228 5976 6535 7470 7842 8964 9960 10456 11205 11763 13070 14940 15684 17928 19605 22410 23526 26140 29880 31368 35289 39210 44820 47052 52280 58815 70578 78420 89640 94104 108481 117630 141156 156840 176445 216962 235260 282312 325443 352890 433924 470520 542405 650886 705780 867848 976329 1084810 1301772 1411560 1627215 1952658 2169620 2603544 2928987 3254430 3905316 4339240 4881645 5857974 6508860 7810632 9763290 11715948 13017720 14644935 19526580 23431896 29289870 39053160 58579740 117159480