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114768666 = 23217232709
BaseRepresentation
bin1101101011100…
…11101100011010
321222221212000100
412311303230122
5213340044131
615215520230
72562342345
oct665635432
9258855010
10114768666
1159869441
1232529076
131aa14a6c
141135745c
15a1207e6
hex6d73b1a

114768666 has 72 divisors (see below), whose sum is σ = 275626260. Its totient is φ = 34391808.

The previous prime is 114768659. The next prime is 114768671. The reversal of 114768666 is 666867411.

It can be written as a sum of positive squares in 2 ways, for example, as 114383025 + 385641 = 10695^2 + 621^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161520 + ... + 162228.

Almost surely, 2114768666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114768666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137813130).

114768666 is an abundant number, since it is smaller than the sum of its proper divisors (160857594).

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

114768666 is a wasteful number, since it uses less digits than its factorization.

114768666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 754 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 114768666 is about 10713.0138616544. The cubic root of 114768666 is about 485.9681176057.

The spelling of 114768666 in words is "one hundred fourteen million, seven hundred sixty-eight thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 529 709 782 1058 1173 1418 1587 2127 2346 3174 3519 4254 4761 6381 7038 8993 9522 12053 12762 16307 17986 24106 26979 32614 36159 48921 53958 72318 80937 97842 108477 146763 161874 216954 277219 293526 375061 554438 750122 831657 1125183 1663314 2250366 2494971 3375549 4989942 6376037 6751098 12752074 19128111 38256222 57384333 114768666