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114168105 = 3255774397
BaseRepresentation
bin1101100111000…
…01000100101001
321221211100012100
412303201010221
5213211334410
615155004013
72554261422
oct663410451
9257740170
10114168105
1159499207
1232299609
131a8645bc
141123c649
15a0528c0
hex6ce1129

114168105 has 24 divisors (see below), whose sum is σ = 198279432. Its totient is φ = 60770304.

The previous prime is 114168059. The next prime is 114168137. The reversal of 114168105 is 501861411.

It can be written as a sum of positive squares in 4 ways, for example, as 43204329 + 70963776 = 6573^2 + 8424^2 .

It is not a de Polignac number, because 114168105 - 29 = 114167593 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23767 + ... + 28163.

It is an arithmetic number, because the mean of its divisors is an integer number (8261643).

Almost surely, 2114168105 is an apocalyptic number.

114168105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114168105 is a deficient number, since it is larger than the sum of its proper divisors (84111327).

114168105 is a wasteful number, since it uses less digits than its factorization.

114168105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 114168105 is about 10684.9475899510. The cubic root of 114168105 is about 485.1189774356.

The spelling of 114168105 in words is "one hundred fourteen million, one hundred sixty-eight thousand, one hundred five".

Divisors: 1 3 5 9 15 45 577 1731 2885 4397 5193 8655 13191 21985 25965 39573 65955 197865 2537069 7611207 12685345 22833621 38056035 114168105