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11166660 = 2234561113
BaseRepresentation
bin101010100110…
…001111000100
3210000022210000
4222212033010
510324313120
61035201300
7163625601
oct52461704
923008700
1011166660
11633774a
1238a6230
13240c8bb
1416a96a8
15ea8990
hexaa63c4

11166660 has 120 divisors (see below), whose sum is σ = 35919576. Its totient is φ = 2903040.

The previous prime is 11166643. The next prime is 11166679. The reversal of 11166660 is 6666111.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 10150596 = 1008^2 + 3186^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 98764 + ... + 98876.

Almost surely, 211166660 is an apocalyptic number.

11166660 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 11166660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17959788).

11166660 is an abundant number, since it is smaller than the sum of its proper divisors (24752916).

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

11166660 is a wasteful number, since it uses less digits than its factorization.

11166660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 11166660 is about 3341.6552784511. The cubic root of 11166660 is about 223.5155612786.

It can be divided in two parts, 1116 and 6660, that added together give a 5-th power (7776 = 65).

The spelling of 11166660 in words is "eleven million, one hundred sixty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 81 90 108 113 122 135 162 180 183 226 244 270 305 324 339 366 405 452 540 549 565 610 678 732 810 915 1017 1098 1130 1220 1356 1620 1647 1695 1830 2034 2196 2260 2745 3051 3294 3390 3660 4068 4941 5085 5490 6102 6588 6780 6893 8235 9153 9882 10170 10980 12204 13786 15255 16470 18306 19764 20340 20679 24705 27572 30510 32940 34465 36612 41358 45765 49410 61020 62037 68930 82716 91530 98820 103395 124074 137860 183060 186111 206790 248148 310185 372222 413580 558333 620370 744444 930555 1116666 1240740 1861110 2233332 2791665 3722220 5583330 11166660