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114009084 = 2232741319
BaseRepresentation
bin1101100101110…
…10001111111100
321221112021001200
412302322033330
5213141242314
615151335500
72553030000
oct662721774
9257467050
10114009084
115939a792
1232221590
131a80a0c7
14111da700
15a020709
hex6cba3fc

114009084 has 90 divisors (see below), whose sum is σ = 336456120. Its totient is φ = 32549328.

The previous prime is 114009079. The next prime is 114009107. The reversal of 114009084 is 480900411.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 85777 + ... + 87095.

Almost surely, 2114009084 is an apocalyptic number.

114009084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114009084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168228060).

114009084 is an abundant number, since it is smaller than the sum of its proper divisors (222447036).

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

114009084 is a wasteful number, since it uses less digits than its factorization.

114009084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 114009084 is about 10677.5036408329. The cubic root of 114009084 is about 484.8936373554.

Adding to 114009084 its reverse (480900411), we get a palindrome (594909495).

The spelling of 114009084 in words is "one hundred fourteen million, nine thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1319 1372 1764 2058 2401 2638 3087 3957 4116 4802 5276 6174 7203 7914 9233 9604 11871 12348 14406 15828 18466 21609 23742 27699 28812 36932 43218 47484 55398 64631 83097 86436 110796 129262 166194 193893 258524 332388 387786 452417 581679 775572 904834 1163358 1357251 1809668 2326716 2714502 3166919 4071753 5429004 6333838 8143506 9500757 12667676 16287012 19001514 28502271 38003028 57004542 114009084