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116416405 = 572475169
BaseRepresentation
bin1101111000001…
…01111110010101
322010001120021201
412330011332111
5214300311110
615315112501
72612344300
oct674057625
9263046251
10116416405
115a794406
1232ba2731
131b170a61
1411665b37
15a348b3a
hex6f05f95

116416405 has 12 divisors (see below), whose sum is σ = 162508140. Its totient is φ = 79828224.

The previous prime is 116416403. The next prime is 116416427. The reversal of 116416405 is 504614611.

It can be written as a sum of positive squares in 2 ways, for example, as 76195441 + 40220964 = 8729^2 + 6342^2 .

It is not a de Polignac number, because 116416405 - 21 = 116416403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116416403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237340 + ... + 237829.

It is an arithmetic number, because the mean of its divisors is an integer number (13542345).

Almost surely, 2116416405 is an apocalyptic number.

It is an amenable number.

116416405 is a deficient number, since it is larger than the sum of its proper divisors (46091735).

116416405 is an equidigital number, since it uses as much as digits as its factorization.

116416405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475188 (or 475181 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 116416405 is about 10789.6434139410. The cubic root of 116416405 is about 488.2827643810.

The spelling of 116416405 in words is "one hundred sixteen million, four hundred sixteen thousand, four hundred five".

Divisors: 1 5 7 35 49 245 475169 2375845 3326183 16630915 23283281 116416405