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114241530 = 235131717231
BaseRepresentation
bin1101100111100…
…10111111111010
321221222001220210
412303302333322
5213221212110
615200331550
72555015454
oct663627772
9257861823
10114241530
1159539397
1232313bb6
131a88bb50
141125b2d4
15a069520
hex6cf2ffa

114241530 has 64 divisors (see below), whose sum is σ = 312657408. Its totient is φ = 26465280.

The previous prime is 114241481. The next prime is 114241573. The reversal of 114241530 is 35142411.

It is a super-2 number, since 2×1142415302 = 26102254353481800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114241497 and 114241506.

It is an unprimeable number.

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, 1986 + ... + 15245.

It is an arithmetic number, because the mean of its divisors is an integer number (4885272).

Almost surely, 2114241530 is an apocalyptic number.

114241530 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 114241530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156328704).

114241530 is an abundant number, since it is smaller than the sum of its proper divisors (198415878).

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

114241530 is a wasteful number, since it uses less digits than its factorization.

114241530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17271.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 114241530 is about 10688.3829459839. The cubic root of 114241530 is about 485.2229534324. Note that the first 3 decimals are identical.

Adding to 114241530 its reverse (35142411), we get a palindrome (149383941).

The spelling of 114241530 in words is "one hundred fourteen million, two hundred forty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 2210 3315 6630 17231 34462 51693 86155 103386 172310 224003 258465 292927 448006 516930 585854 672009 878781 1120015 1344018 1464635 1757562 2240030 2929270 3360045 3808051 4393905 6720090 7616102 8787810 11424153 19040255 22848306 38080510 57120765 114241530