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116405289 = 33711135973
BaseRepresentation
bin1101111000000…
…11010000101001
322010001000001000
412330003100221
5214244432124
615314545213
72612300010
oct674032051
9263030030
10116405289
115a787020
1232b98209
131b168990
1411661a77
15a3456c9
hex6f03429

116405289 has 128 divisors (see below), whose sum is σ = 238694400. Its totient is φ = 54120960.

The previous prime is 116405269. The next prime is 116405327. The reversal of 116405289 is 982504611.

116405289 is a `hidden beast` number, since 1 + 1 + 640 + 5 + 2 + 8 + 9 = 666.

It is not a de Polignac number, because 116405289 - 27 = 116405161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116405269) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1594557 + ... + 1594629.

It is an arithmetic number, because the mean of its divisors is an integer number (1864800).

Almost surely, 2116405289 is an apocalyptic number.

It is an amenable number.

116405289 is an abundant number, since it is smaller than the sum of its proper divisors (122289111).

116405289 is a wasteful number, since it uses less digits than its factorization.

116405289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 116405289 is about 10789.1282780399. The cubic root of 116405289 is about 488.2672226883.

The spelling of 116405289 in words is "one hundred sixteen million, four hundred five thousand, two hundred eighty-nine".

Divisors: 1 3 7 9 11 13 21 27 33 39 59 63 73 77 91 99 117 143 177 189 219 231 273 297 351 413 429 511 531 649 657 693 767 803 819 949 1001 1239 1287 1533 1593 1947 1971 2079 2301 2409 2457 2847 3003 3717 3861 4307 4543 4599 5369 5621 5841 6643 6903 7227 8437 8541 9009 10439 11151 12921 13629 13797 16107 16863 17523 19929 20709 21681 25311 25623 27027 30149 31317 38763 40887 47377 48321 50589 55991 59059 59787 73073 75933 90447 93951 116289 122661 142131 144963 151767 167973 177177 179361 219219 227799 271341 281853 331639 391937 426393 503919 531531 615901 657657 814023 994917 1175811 1279179 1511757 1594593 1847703 1972971 2984751 3527433 4311307 5543109 8954253 10582299 12933921 16629327 38801763 116405289