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114006783 = 31119349521
BaseRepresentation
bin1101100101110…
…01101011111111
321221112010220110
412302321223333
5213141204113
615151321103
72553020202
oct662715377
9257463813
10114006783
1159398a90
1232220193
131a809047
14111d9939
15a01ebc3
hex6cb9aff

114006783 has 32 divisors (see below), whose sum is σ = 175392000. Its totient is φ = 65145600.

The previous prime is 114006751. The next prime is 114006787. The reversal of 114006783 is 387600411.

It is a happy number.

It is not a de Polignac number, because 114006783 - 25 = 114006751 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114006783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114006787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218563 + ... + 219083.

It is an arithmetic number, because the mean of its divisors is an integer number (5481000).

Almost surely, 2114006783 is an apocalyptic number.

114006783 is a deficient number, since it is larger than the sum of its proper divisors (61385217).

114006783 is a wasteful number, since it uses less digits than its factorization.

114006783 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 114006783 is about 10677.3958903845. The cubic root of 114006783 is about 484.8903751950.

The spelling of 114006783 in words is "one hundred fourteen million, six thousand, seven hundred eighty-three".

Divisors: 1 3 11 19 33 57 209 349 521 627 1047 1563 3839 5731 6631 9899 11517 17193 19893 29697 72941 108889 181829 218823 326667 545487 2000119 3454751 6000357 10364253 38002261 114006783