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11140416 = 26347307
BaseRepresentation
bin101010011111…
…110101000000
3202221222210000
4222133311000
510322443131
61034440000
7163456230
oct52376500
922858700
1011140416
116319a61
123893000
132400981
14169dcc0
15ea0ce6
hexa9fd40

11140416 has 140 divisors (see below), whose sum is σ = 37864288. Its totient is φ = 3172608.

The previous prime is 11140399. The next prime is 11140421. The reversal of 11140416 is 61404111.

11140416 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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36135 + ... + 36441.

Almost surely, 211140416 is an apocalyptic number.

11140416 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 11140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18932144).

11140416 is an abundant number, since it is smaller than the sum of its proper divisors (26723872).

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

11140416 is an equidigital number, since it uses as much as digits as its factorization.

11140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11140416 is about 3337.7261721118. The cubic root of 11140416 is about 223.3403210605.

Adding to 11140416 its reverse (61404111), we get a palindrome (72544527).

The spelling of 11140416 in words is "eleven million, one hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 307 324 336 378 432 448 504 567 576 614 648 672 756 864 921 1008 1134 1228 1296 1344 1512 1728 1842 2016 2149 2268 2456 2592 2763 3024 3684 4032 4298 4536 4912 5184 5526 6048 6447 7368 8289 8596 9072 9824 11052 12096 12894 14736 16578 17192 18144 19341 19648 22104 24867 25788 29472 33156 34384 36288 38682 44208 49734 51576 58023 58944 66312 68768 77364 88416 99468 103152 116046 132624 137536 154728 174069 176832 198936 206304 232092 265248 309456 348138 397872 412608 464184 530496 618912 696276 795744 928368 1237824 1392552 1591488 1856736 2785104 3713472 5570208 11140416