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116073405 = 345725849
BaseRepresentation
bin1101110101100…
…10001110111101
322002102010210000
412322302032331
5214203322110
615303504513
72606415300
oct672621675
9262363700
10116073405
115a57a738
1232a58139
131b0808b6
14115b6b37
15a2cc1c0
hex6eb23bd

116073405 has 60 divisors (see below), whose sum is σ = 242084700. Its totient is φ = 53053056.

The previous prime is 116073371. The next prime is 116073407. The reversal of 116073405 is 504370611.

116073405 is a `hidden beast` number, since 11 + 607 + 3 + 40 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40487769 + 75585636 = 6363^2 + 8694^2 .

It is not a de Polignac number, because 116073405 - 27 = 116073277 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116073407) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 16921 + ... + 22769.

It is an arithmetic number, because the mean of its divisors is an integer number (4034745).

Almost surely, 2116073405 is an apocalyptic number.

116073405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116073405 is an abundant number, since it is smaller than the sum of its proper divisors (126011295).

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

116073405 is an equidigital number, since it uses as much as digits as its factorization.

116073405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 116073405 is about 10773.7368169080. The cubic root of 116073405 is about 487.8027468607.

The spelling of 116073405 in words is "one hundred sixteen million, seventy-three thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 735 945 1323 2205 2835 3969 5849 6615 17547 19845 29245 40943 52641 87735 122829 157923 204715 263205 286601 368487 473769 614145 789615 859803 1105461 1433005 1842435 2368845 2579409 3316383 4299015 5527305 7738227 12897045 16581915 23214681 38691135 116073405