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116781945 = 3572592693
BaseRepresentation
bin1101111010111…
…11001101111001
322010202010201020
412331133031321
5214344010240
615331013053
72615426100
oct675371571
9263663636
10116781945
115aa14005
123313a189
131b26b257
141171d037
15a3bc0d0
hex6f5f379

116781945 has 48 divisors (see below), whose sum is σ = 221123520. Its totient is φ = 52461696.

The previous prime is 116781941. The next prime is 116781947. The reversal of 116781945 is 549187611.

It is not a de Polignac number, because 116781945 - 22 = 116781941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 116781897 and 116781906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116781941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42019 + ... + 44711.

It is an arithmetic number, because the mean of its divisors is an integer number (4606740).

Almost surely, 2116781945 is an apocalyptic number.

116781945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116781945 is a deficient number, since it is larger than the sum of its proper divisors (104341575).

116781945 is a wasteful number, since it uses less digits than its factorization.

116781945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2767 counting only the distinct ones).

The product of its digits is 60480, while the sum is 42.

The square root of 116781945 is about 10806.5695296889. The cubic root of 116781945 is about 488.7932892063.

The spelling of 116781945 in words is "one hundred sixteen million, seven hundred eighty-one thousand, nine hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 59 105 147 177 245 295 413 735 885 1239 2065 2693 2891 6195 8079 8673 13465 14455 18851 40395 43365 56553 94255 131957 158887 282765 395871 476661 659785 794435 1112209 1979355 2383305 3336627 5561045 7785463 16683135 23356389 38927315 116781945