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114849405 = 32511415659
BaseRepresentation
bin1101101100001…
…11011001111101
322000002221202200
412312013121331
5213400140110
615221342113
72563126626
oct666073175
9260087680
10114849405
1159914070
1232567939
131aa42738
1411378a4d
15a1396c0
hex6d8767d

114849405 has 48 divisors (see below), whose sum is σ = 222505920. Its totient is φ = 54316800.

The previous prime is 114849379. The next prime is 114849409. The reversal of 114849405 is 504948411.

It is not a de Polignac number, because 114849405 - 27 = 114849277 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114849405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114849409) 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 47 ways as a sum of consecutive naturals, for example, 17466 + ... + 23124.

It is an arithmetic number, because the mean of its divisors is an integer number (4635540).

Almost surely, 2114849405 is an apocalyptic number.

114849405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114849405 is a deficient number, since it is larger than the sum of its proper divisors (107656515).

114849405 is a wasteful number, since it uses less digits than its factorization.

114849405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 114849405 is about 10716.7814664665. The cubic root of 114849405 is about 486.0820493489.

The spelling of 114849405 in words is "one hundred fourteen million, eight hundred forty-nine thousand, four hundred five".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 123 165 205 369 451 495 615 1353 1845 2255 4059 5659 6765 16977 20295 28295 50931 62249 84885 186747 232019 254655 311245 560241 696057 933735 1160095 2088171 2552209 2801205 3480285 7656627 10440855 12761045 22969881 38283135 114849405