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11166540 = 22357112417
BaseRepresentation
bin101010100110…
…001101001100
3210000022121120
4222212031030
510324312130
61035200540
7163625340
oct52461514
923008546
1011166540
116337650
1238a6150
13240c828
1416a9620
15ea8910
hexaa634c

11166540 has 96 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 2319360.

The previous prime is 11166503. The next prime is 11166559. The reversal of 11166540 is 4566111.

It is a self number, because there is not a number n which added to its sum of digits gives 11166540.

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 31 ways as a sum of consecutive naturals, for example, 3412 + ... + 5828.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 211166540 is an apocalyptic number.

11166540 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 11166540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

11166540 is an abundant number, since it is smaller than the sum of its proper divisors (27830964).

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

11166540 is a wasteful number, since it uses less digits than its factorization.

11166540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11166540 is about 3341.6373232294. The cubic root of 11166540 is about 223.5147606225.

The spelling of 11166540 in words is "eleven million, one hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 2417 4620 4834 7251 9668 12085 14502 16919 24170 26587 29004 33838 36255 48340 50757 53174 67676 72510 79761 84595 101514 106348 132935 145020 159522 169190 186109 203028 253785 265870 319044 338380 372218 398805 507570 531740 558327 744436 797610 930545 1015140 1116654 1595220 1861090 2233308 2791635 3722180 5583270 11166540