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11909106 = 2341141163
BaseRepresentation
bin101101011011…
…011111110010
3211102001020000
4231123133302
511022042411
61103130430
7203140266
oct55333762
924361200
1011909106
1167a4540
123ba3a16
13260c811
1418200a6
1510a3956
hexb5b7f2

11909106 has 80 divisors (see below), whose sum is σ = 30004128. Its totient is φ = 3499200.

The previous prime is 11909099. The next prime is 11909113. The reversal of 11909106 is 60190911.

It is an interprime number because it is at equal distance from previous prime (11909099) and next prime (11909113).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11909106.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72981 + ... + 73143.

Almost surely, 211909106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11909106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002064).

11909106 is an abundant number, since it is smaller than the sum of its proper divisors (18095022).

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

11909106 is a wasteful number, since it uses less digits than its factorization.

11909106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 11909106 is about 3450.9572585009. The cubic root of 11909106 is about 228.3633403416.

It can be divided in two parts, 1190 and 9106, that added together give a triangular number (10296 = T143).

The spelling of 11909106 in words is "eleven million, nine hundred nine thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 81 82 99 123 162 163 198 246 297 326 369 451 489 594 738 891 902 978 1107 1353 1467 1782 1793 2214 2706 2934 3321 3586 4059 4401 5379 6642 6683 8118 8802 10758 12177 13203 13366 16137 20049 24354 26406 32274 36531 40098 48411 60147 73062 73513 96822 120294 145233 147026 180441 220539 290466 360882 441078 541323 661617 1082646 1323234 1984851 3969702 5954553 11909106