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11665056 = 253132719
BaseRepresentation
bin101100011111…
…111010100000
3210221122110010
4230133322200
510441240211
61054004520
7201102624
oct54377240
923848403
1011665056
116648147
123aa6740
132555700
141799184
1510564a6
hexb1fea0

11665056 has 72 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 3584256.

The previous prime is 11665039. The next prime is 11665057. The reversal of 11665056 is 65056611.

It is not an unprimeable number, because it can be changed into a prime (11665057) 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 11 ways as a sum of consecutive naturals, for example, 15865 + ... + 16583.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 211665056 is an apocalyptic number.

11665056 is a gapful number since it is divisible by the number (16) 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 11665056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

11665056 is an abundant number, since it is smaller than the sum of its proper divisors (21538464).

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

11665056 is a wasteful number, since it uses less digits than its factorization.

11665056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 11665056 is about 3415.4144697240. The cubic root of 11665056 is about 226.7926327901.

The spelling of 11665056 in words is "eleven million, six hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 719 1014 1248 1352 1438 2028 2157 2704 2876 4056 4314 5408 5752 8112 8628 9347 11504 16224 17256 18694 23008 28041 34512 37388 56082 69024 74776 112164 121511 149552 224328 243022 299104 364533 448656 486044 729066 897312 972088 1458132 1944176 2916264 3888352 5832528 11665056