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11074688 = 27312791
BaseRepresentation
bin101010001111…
…110010000000
3202211122121122
4222033302000
510313342223
61033211412
7163063502
oct52176200
922748548
1011074688
116284639
123860b68
1323a9a91
141683d72
15e8b5c8
hexa8fc80

11074688 has 32 divisors (see below), whose sum is σ = 22782720. Its totient is φ = 5356800.

The previous prime is 11074643. The next prime is 11074691. The reversal of 11074688 is 88647011.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×110746883 (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2573 + ... + 5363.

It is an arithmetic number, because the mean of its divisors is an integer number (711960).

Almost surely, 211074688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11391360).

11074688 is an abundant number, since it is smaller than the sum of its proper divisors (11708032).

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

11074688 is an equidigital number, since it uses as much as digits as its factorization.

11074688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 11074688 is about 3327.8653818927. The cubic root of 11074688 is about 222.9002214710.

The spelling of 11074688 in words is "eleven million, seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 2791 3968 5582 11164 22328 44656 86521 89312 173042 178624 346084 357248 692168 1384336 2768672 5537344 11074688