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11916135 = 32571119181
BaseRepresentation
bin101101011101…
…001101100111
3211102101212100
4231131031213
511022304020
61103223143
7203166630
oct55351547
924371770
1011916135
1167a9850
123ba7ab3
132612a8a
141822887
1510a5a90
hexb5d367

11916135 has 96 divisors (see below), whose sum is σ = 27256320. Its totient is φ = 4665600.

The previous prime is 11916131. The next prime is 11916137. The reversal of 11916135 is 53161911.

11916135 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 11916135 - 22 = 11916131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11916099 and 11916108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11916131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65745 + ... + 65925.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 211916135 is an apocalyptic number.

11916135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11916135 is an abundant number, since it is smaller than the sum of its proper divisors (15340185).

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

11916135 is a wasteful number, since it uses less digits than its factorization.

11916135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 226 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 11916135 is about 3451.9755213501. The cubic root of 11916135 is about 228.4082597565.

The spelling of 11916135 in words is "eleven million, nine hundred sixteen thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 19 21 33 35 45 55 57 63 77 95 99 105 133 165 171 181 209 231 285 315 385 399 495 543 627 665 693 855 905 1045 1155 1197 1267 1463 1629 1881 1991 1995 2715 3135 3439 3465 3801 4389 5973 5985 6335 7315 8145 9405 9955 10317 11403 13167 13937 17195 17919 19005 21945 24073 29865 30951 37829 41811 51585 57015 65835 69685 72219 89595 113487 120365 125433 154755 189145 209055 216657 264803 340461 361095 567435 627165 794409 1083285 1324015 1702305 2383227 3972045 11916135