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11366040 = 2335721933
BaseRepresentation
bin101011010110…
…111010011000
3210101110021110
4223112322120
510402203130
61043340320
7165416100
oct53267230
923343243
1011366040
116463524
1239816a0
13247c58a
14171c200
15ee7ab0
hexad6e98

11366040 has 96 divisors (see below), whose sum is σ = 39685680. Its totient is φ = 2596608.

The previous prime is 11366039. The next prime is 11366041. The reversal of 11366040 is 4066311.

It is an interprime number because it is at equal distance from previous prime (11366039) and next prime (11366041).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11365998 and 11366016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11366041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4914 + ... + 6846.

Almost surely, 211366040 is an apocalyptic number.

11366040 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 11366040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842840).

11366040 is an abundant number, since it is smaller than the sum of its proper divisors (28319640).

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

11366040 is a wasteful number, since it uses less digits than its factorization.

11366040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 11366040 is about 3371.3558103529. The cubic root of 11366040 is about 224.8380068547.

The spelling of 11366040 in words is "eleven million, three hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1933 1960 2940 3866 5799 5880 7732 9665 11598 13531 15464 19330 23196 27062 28995 38660 40593 46392 54124 57990 67655 77320 81186 94717 108248 115980 135310 162372 189434 202965 231960 270620 284151 324744 378868 405930 473585 541240 568302 757736 811860 947170 1136604 1420755 1623720 1894340 2273208 2841510 3788680 5683020 11366040