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11114145 = 335719619
BaseRepresentation
bin101010011001…
…011010100001
3202220122202000
4222121122201
510321123040
61034114213
7163316520
oct52313241
922818660
1011114145
116301249
12387b969
1323c1a23
1416944b7
15e98130
hexa996a1

11114145 has 64 divisors (see below), whose sum is σ = 23808000. Its totient is φ = 4805568.

The previous prime is 11114143. The next prime is 11114179. The reversal of 11114145 is 54141111.

It is not a de Polignac number, because 11114145 - 21 = 11114143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11114143) 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 63 ways as a sum of consecutive naturals, for example, 17646 + ... + 18264.

It is an arithmetic number, because the mean of its divisors is an integer number (372000).

Almost surely, 211114145 is an apocalyptic number.

11114145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11114145 is an abundant number, since it is smaller than the sum of its proper divisors (12693855).

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

11114145 is a wasteful number, since it uses less digits than its factorization.

11114145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 653 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 11114145 is about 3333.7883856058. The cubic root of 11114145 is about 223.1646246977.

Adding to 11114145 its reverse (54141111), we get a palindrome (65255256).

The spelling of 11114145 in words is "eleven million, one hundred fourteen thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 399 513 619 665 855 945 1197 1857 1995 2565 3095 3591 4333 5571 5985 9285 11761 12999 16713 17955 21665 27855 35283 38997 58805 64995 82327 83565 105849 116991 176415 194985 246981 317547 411635 529245 584955 740943 1234905 1587735 2222829 3704715 11114145