Search a number
-
+
117035280 = 2434518061
BaseRepresentation
bin1101111100111…
…01000100010000
322011020000020000
412332131010100
5214430112110
615340250000
72620532505
oct676350420
9264200200
10117035280
116007737a
1233240900
131b32965b
14117874ac
15a41c1c0
hex6f9d110

117035280 has 100 divisors (see below), whose sum is σ = 406503372. Its totient is φ = 31207680.

The previous prime is 117035273. The next prime is 117035297. The reversal of 117035280 is 82530711.

It can be written as a sum of positive squares in 2 ways, for example, as 69755904 + 47279376 = 8352^2 + 6876^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 2551 + ... + 15510.

Almost surely, 2117035280 is an apocalyptic number.

117035280 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 117035280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203251686).

117035280 is an abundant number, since it is smaller than the sum of its proper divisors (289468092).

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

117035280 is a wasteful number, since it uses less digits than its factorization.

117035280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18086 (or 18071 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 117035280 is about 10818.2845220488. The cubic root of 117035280 is about 489.1464802620.

Adding to 117035280 its reverse (82530711), we get a palindrome (199565991).

The spelling of 117035280 in words is "one hundred seventeen million, thirty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 18061 36122 54183 72244 90305 108366 144488 162549 180610 216732 270915 288976 325098 361220 433464 487647 541830 650196 722440 812745 866928 975294 1083660 1300392 1444880 1462941 1625490 1950588 2167320 2438235 2600784 2925882 3250980 3901176 4334640 4876470 5851764 6501960 7314705 7802352 9752940 11703528 13003920 14629410 19505880 23407056 29258820 39011760 58517640 117035280