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114094530 = 232511210477
BaseRepresentation
bin1101100110011…
…11000111000010
321221200121021100
412303033013002
5213202011110
615153235230
72553534054
oct663170702
9257617240
10114094530
1159448a00
1232262b16
131a839c74
141121d8d4
15a03abc0
hex6ccf1c2

114094530 has 72 divisors (see below), whose sum is σ = 326096316. Its totient is φ = 27656640.

The previous prime is 114094517. The next prime is 114094553. The reversal of 114094530 is 35490411.

114094530 is a `hidden beast` number, since 1 + 1 + 40 + 94 + 530 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113614281 + 480249 = 10659^2 + 693^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114094494 and 114094503.

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, 5652 + ... + 16128.

Almost surely, 2114094530 is an apocalyptic number.

114094530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114094530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163048158).

114094530 is an abundant number, since it is smaller than the sum of its proper divisors (212001786).

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

114094530 is a wasteful number, since it uses less digits than its factorization.

114094530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10512 (or 10498 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 114094530 is about 10681.5041075684. The cubic root of 114094530 is about 485.0147442997.

The spelling of 114094530 in words is "one hundred fourteen million, ninety-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10477 10890 20954 31431 52385 62862 94293 104770 115247 157155 188586 230494 314310 345741 471465 576235 691482 942930 1037223 1152470 1267717 1728705 2074446 2535434 3457410 3803151 5186115 6338585 7606302 10372230 11409453 12677170 19015755 22818906 38031510 57047265 114094530