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11069040 = 2435172713
BaseRepresentation
bin101010001110…
…011001110000
3202211100212110
4222032121300
510313202130
61033125320
7163041153
oct52163160
922740773
1011069040
116280374
123859840
1323a7338
141681c9a
15e89ab0
hexa8e670

11069040 has 80 divisors (see below), whose sum is σ = 36345888. Its totient is φ = 2777088.

The previous prime is 11069029. The next prime is 11069041. The reversal of 11069040 is 4096011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11068998 and 11069016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11069041) 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 15 ways as a sum of consecutive naturals, for example, 2724 + ... + 5436.

Almost surely, 211069040 is an apocalyptic number.

11069040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11069040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18172944).

11069040 is an abundant number, since it is smaller than the sum of its proper divisors (25276848).

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

11069040 is a wasteful number, since it uses less digits than its factorization.

11069040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11069040 is about 3327.0166816534. The cubic root of 11069040 is about 222.8623225996.

The spelling of 11069040 in words is "eleven million, sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 2713 4080 5426 8139 10852 13565 16278 21704 27130 32556 40695 43408 46121 54260 65112 81390 92242 108520 130224 138363 162780 184484 217040 230605 276726 325560 368968 461210 553452 651120 691815 737936 922420 1106904 1383630 1844840 2213808 2767260 3689680 5534520 11069040