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11071368 = 23327111997
BaseRepresentation
bin101010001110…
…111110001000
3202211111001200
4222032332020
510313240433
61033144200
7163051020
oct52167610
922744050
1011071368
1162820a0
12385b060
1323a8409
141682a80
15e8a613
hexa8ef88

11071368 has 96 divisors (see below), whose sum is σ = 37402560. Its totient is φ = 2874240.

The previous prime is 11071363. The next prime is 11071373. The reversal of 11071368 is 86317011.

11071368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11071363) and next prime (11071373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4546 + ... + 6542.

It is an arithmetic number, because the mean of its divisors is an integer number (389610).

Almost surely, 211071368 is an apocalyptic number.

11071368 is a gapful number since it is divisible by the number (18) 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 11071368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701280).

11071368 is an abundant number, since it is smaller than the sum of its proper divisors (26331192).

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

11071368 is a wasteful number, since it uses less digits than its factorization.

11071368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11071368 is about 3327.3665262486. The cubic root of 11071368 is about 222.8779453672.

Adding to 11071368 its reverse (86317011), we get a palindrome (97388379).

The spelling of 11071368 in words is "eleven million, seventy-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 1997 2772 3994 5544 5991 7988 11982 13979 15976 17973 21967 23964 27958 35946 41937 43934 47928 55916 65901 71892 83874 87868 111832 125811 131802 143784 153769 167748 175736 197703 251622 263604 307538 335496 395406 461307 503244 527208 615076 790812 922614 1006488 1230152 1383921 1581624 1845228 2767842 3690456 5535684 11071368