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11287024 = 247179563
BaseRepresentation
bin101011000011…
…100111110000
3210020102212221
4223003213300
510342141044
61041530424
7164636530
oct53034760
923212787
1011287024
11640a121
123943a14
132452618
1416db4c0
15ece484
hexac39f0

11287024 has 40 divisors (see below), whose sum is σ = 25176960. Its totient is φ = 4801728.

The previous prime is 11286991. The next prime is 11287051. The reversal of 11287024 is 42078211.

It is a happy number.

11287024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11287024.

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, 19767 + ... + 20329.

It is an arithmetic number, because the mean of its divisors is an integer number (629424).

Almost surely, 211287024 is an apocalyptic number.

11287024 is a gapful number since it is divisible by the number (14) 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 11287024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12588480).

11287024 is an abundant number, since it is smaller than the sum of its proper divisors (13889936).

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

11287024 is a wasteful number, since it uses less digits than its factorization.

11287024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 11287024 is about 3359.6166447974. The cubic root of 11287024 is about 224.3157748781.

The spelling of 11287024 in words is "eleven million, two hundred eighty-seven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 179 358 563 716 1126 1253 1432 2252 2506 2864 3941 4504 5012 7882 9008 10024 15764 20048 31528 63056 100777 201554 403108 705439 806216 1410878 1612432 2821756 5643512 11287024