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11036340 = 22325719461
BaseRepresentation
bin101010000110…
…011010110100
3202202201000100
4222012122310
510311130330
61032314100
7162543630
oct52063264
922681010
1011036340
116258847
123842930
1323954a3
141673dc0
15e80060
hexa866b4

11036340 has 144 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 2384640.

The previous prime is 11036329. The next prime is 11036387. The reversal of 11036340 is 4363011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23710 + ... + 24170.

It is an arithmetic number, because the mean of its divisors is an integer number (280280).

Almost surely, 211036340 is an apocalyptic number.

11036340 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 11036340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

11036340 is an abundant number, since it is smaller than the sum of its proper divisors (29323980).

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

11036340 is a wasteful number, since it uses less digits than its factorization.

11036340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 11036340 is about 3322.0987342341. The cubic root of 11036340 is about 222.6426472392.

Adding to 11036340 its reverse (4363011), we get a palindrome (15399351).

The spelling of 11036340 in words is "eleven million, thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 461 532 570 630 665 684 798 855 922 1140 1197 1260 1330 1383 1596 1710 1844 1995 2305 2394 2660 2766 3227 3420 3990 4149 4610 4788 5532 5985 6454 6915 7980 8298 8759 9220 9681 11970 12908 13830 16135 16596 17518 19362 20745 23940 26277 27660 29043 32270 35036 38724 41490 43795 48405 52554 58086 61313 64540 78831 82980 87590 96810 105108 116172 122626 131385 145215 157662 175180 183939 193620 245252 262770 290430 306565 315324 367878 394155 525540 551817 580860 613130 735756 788310 919695 1103634 1226260 1576620 1839390 2207268 2759085 3678780 5518170 11036340