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11263296 = 263115333
BaseRepresentation
bin101010111101…
…110101000000
3210012020100010
4222331311000
510340411141
61041224520
7164510412
oct52756500
923166303
1011263296
1163a3310
123932140
132444895
1416d29b2
15ec7416
hexabdd40

11263296 has 56 divisors (see below), whose sum is σ = 32516064. Its totient is φ = 3412480.

The previous prime is 11263289. The next prime is 11263313. The reversal of 11263296 is 69236211.

11263296 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555 + ... + 4778.

It is an arithmetic number, because the mean of its divisors is an integer number (580644).

Almost surely, 211263296 is an apocalyptic number.

11263296 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 11263296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16258032).

11263296 is an abundant number, since it is smaller than the sum of its proper divisors (21252768).

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

11263296 is a wasteful number, since it uses less digits than its factorization.

11263296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5359 (or 5349 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 11263296 is about 3356.0834316209. The cubic root of 11263296 is about 224.1584762896.

The spelling of 11263296 in words is "eleven million, two hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 5333 10666 15999 21332 31998 42664 58663 63996 85328 117326 127992 170656 175989 234652 255984 341312 351978 469304 511968 703956 938608 1023936 1407912 1877216 2815824 3754432 5631648 11263296