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11066160 = 243572941
BaseRepresentation
bin101010001101…
…101100110000
3202211012220210
4222031230300
510313104120
61033104120
7163026600
oct52155460
922735823
1011066160
116279196
123858040
1323a5c31
141680c00
15e88ce0
hexa8db30

11066160 has 120 divisors (see below), whose sum is σ = 39948336. Its totient is φ = 2526720.

The previous prime is 11066147. The next prime is 11066173. The reversal of 11066160 is 6166011.

11066160 is a nontrivial binomial coefficient, being equal to C(4705, 2).

It is an interprime number because it is at equal distance from previous prime (11066147) and next prime (11066173).

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 11290 + ... + 12230.

Almost surely, 211066160 is an apocalyptic number.

11066160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11066160 is the 4704-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11066160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19974168).

11066160 is an abundant number, since it is smaller than the sum of its proper divisors (28882176).

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

11066160 is a wasteful number, since it uses less digits than its factorization.

11066160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 958 counting only the distinct ones).

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

The square root of 11066160 is about 3326.5838333041. The cubic root of 11066160 is about 222.8429924330.

The spelling of 11066160 in words is "eleven million, sixty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 941 980 1176 1470 1680 1882 1960 2352 2823 2940 3764 3920 4705 5646 5880 6587 7528 9410 11292 11760 13174 14115 15056 18820 19761 22584 26348 28230 32935 37640 39522 45168 46109 52696 56460 65870 75280 79044 92218 98805 105392 112920 131740 138327 158088 184436 197610 225840 230545 263480 276654 316176 368872 395220 461090 526960 553308 691635 737744 790440 922180 1106616 1383270 1580880 1844360 2213232 2766540 3688720 5533080 11066160