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11011140 = 223457971
BaseRepresentation
bin101010000000…
…010001000100
3202201102110000
4222000101010
510304324030
61032001300
7162410310
oct52002104
922642400
1011011140
116240918
123830230
132386b8a
141668b40
15e77860
hexa80444

11011140 has 120 divisors (see below), whose sum is σ = 39517632. Its totient is φ = 2514240.

The previous prime is 11011123. The next prime is 11011141. The reversal of 11011140 is 4111011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11011141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10855 + ... + 11825.

Almost surely, 211011140 is an apocalyptic number.

11011140 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 11011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758816).

11011140 is an abundant number, since it is smaller than the sum of its proper divisors (28506492).

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

11011140 is a wasteful number, since it uses less digits than its factorization.

11011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 11011140 is about 3318.3037835617. The cubic root of 11011140 is about 222.4730599037.

Adding to 11011140 its reverse (4111011), we get a palindrome (15122151).

The spelling of 11011140 in words is "eleven million, eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 971 1134 1260 1620 1890 1942 2268 2835 2913 3780 3884 4855 5670 5826 6797 8739 9710 11340 11652 13594 14565 17478 19420 20391 26217 27188 29130 33985 34956 40782 43695 52434 58260 61173 67970 78651 81564 87390 101955 104868 122346 131085 135940 157302 174780 183519 203910 244692 262170 305865 314604 367038 393255 407820 524340 550557 611730 734076 786510 917595 1101114 1223460 1573020 1835190 2202228 2752785 3670380 5505570 11011140