Search a number
-
+
116735766 = 2372779423
BaseRepresentation
bin1101111010100…
…11111100010110
322010122210100220
412331103330112
5214341021031
615330015210
72615144340
oct675237426
9263583326
10116735766
115a992344
1233117506
131b253224
141170a290
15a3ad596
hex6f53f16

116735766 has 16 divisors (see below), whose sum is σ = 266824704. Its totient is φ = 33353064.

The previous prime is 116735747. The next prime is 116735797. The reversal of 116735766 is 667537611.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 2779423 = 116735766 / (1 + 1 + 6 + 7 + 3 + 5 + 7 + 6 + 6).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1389670 + ... + 1389753.

It is an arithmetic number, because the mean of its divisors is an integer number (16676544).

Almost surely, 2116735766 is an apocalyptic number.

116735766 is an abundant number, since it is smaller than the sum of its proper divisors (150088938).

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

116735766 is a wasteful number, since it uses less digits than its factorization.

116735766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779435.

The product of its digits is 158760, while the sum is 42.

The square root of 116735766 is about 10804.4327014425. The cubic root of 116735766 is about 488.7288529867.

The spelling of 116735766 in words is "one hundred sixteen million, seven hundred thirty-five thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 2779423 5558846 8338269 16676538 19455961 38911922 58367883 116735766