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181414090 = 251121319607
BaseRepresentation
bin10101101000000…
…10100011001010
3110122100210100101
422310002203022
5332420222330
630000200014
74331665024
oct1264024312
9418323311
10181414090
1193449100
125090900a
132b77a720
141a145014
1510dd74ca
hexad028ca

181414090 has 96 divisors (see below), whose sum is σ = 407554560. Its totient is φ = 57594240.

The previous prime is 181414081. The next prime is 181414097. The reversal of 181414090 is 90414181.

It is a super-2 number, since 2×1814140902 = 65822144101056200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (181414097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298567 + ... + 299173.

It is an arithmetic number, because the mean of its divisors is an integer number (4245360).

Almost surely, 2181414090 is an apocalyptic number.

181414090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

181414090 is an abundant number, since it is smaller than the sum of its proper divisors (226140470).

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

181414090 is a wasteful number, since it uses less digits than its factorization.

181414090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 181414090 is about 13469.0047887734. The cubic root of 181414090 is about 566.0963285044.

Subtracting from 181414090 its reverse (90414181), we obtain a palindrome (90999909).

The spelling of 181414090 in words is "one hundred eighty-one million, four hundred fourteen thousand, ninety".

Divisors: 1 2 5 10 11 13 19 22 26 38 55 65 95 110 121 130 143 190 209 242 247 286 418 494 605 607 715 1045 1210 1214 1235 1430 1573 2090 2299 2470 2717 3035 3146 4598 5434 6070 6677 7865 7891 11495 11533 13354 13585 15730 15782 22990 23066 27170 29887 33385 39455 57665 59774 66770 73447 78910 86801 115330 126863 146894 149435 149929 173602 253726 298870 299858 367235 434005 634315 734470 749645 868010 954811 1268630 1395493 1499290 1649219 1909622 2790986 3298438 4774055 6977465 8246095 9548110 13954930 16492190 18141409 36282818 90707045 181414090