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11660112 = 24352999
BaseRepresentation
bin101100011110…
…101101010000
3210221101200000
4230132231100
510441110422
61053530000
7201052332
oct54365520
923841600
1011660112
116644462
123aa3900
132553399
141797452
151054cac
hexb1eb50

11660112 has 60 divisors (see below), whose sum is σ = 33852000. Its totient is φ = 3885408.

The previous prime is 11660101. The next prime is 11660119. The reversal of 11660112 is 21106611.

11660112 is a `hidden beast` number, since 1 + 1 + 660 + 1 + 1 + 2 = 666.

11660112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11660119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2389 + ... + 5387.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 211660112 is an apocalyptic number.

11660112 is a gapful number since it is divisible by the number (12) 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 11660112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926000).

11660112 is an abundant number, since it is smaller than the sum of its proper divisors (22191888).

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

11660112 is an equidigital number, since it uses as much as digits as its factorization.

11660112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11660112 is about 3414.6906155609. The cubic root of 11660112 is about 226.7605877597.

Adding to 11660112 its reverse (21106611), we get a palindrome (32766723).

The spelling of 11660112 in words is "eleven million, six hundred sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 2999 3888 5998 8997 11996 17994 23992 26991 35988 47984 53982 71976 80973 107964 143952 161946 215928 242919 323892 431856 485838 647784 728757 971676 1295568 1457514 1943352 2915028 3886704 5830056 11660112