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11288432 = 241971523
BaseRepresentation
bin101011000011…
…111101110000
3210020111211002
4223003331300
510342212212
61041541132
7164643611
oct53037560
923214732
1011288432
116410191
1239447a8
13245315c
1416dbc08
15eceac2
hexac3f70

11288432 has 40 divisors (see below), whose sum is σ = 23391360. Its totient is φ = 5261760.

The previous prime is 11288429. The next prime is 11288437. The reversal of 11288432 is 23488211.

It is a junction number, because it is equal to n+sod(n) for n = 11288395 and 11288404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11288437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21323 + ... + 21845.

It is an arithmetic number, because the mean of its divisors is an integer number (584784).

Almost surely, 211288432 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 11288432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695680).

11288432 is an abundant number, since it is smaller than the sum of its proper divisors (12102928).

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

11288432 is a wasteful number, since it uses less digits than its factorization.

11288432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 11288432 is about 3359.8261859805. The cubic root of 11288432 is about 224.3251019154.

The spelling of 11288432 in words is "eleven million, two hundred eighty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 71 76 142 152 284 304 523 568 1046 1136 1349 2092 2698 4184 5396 8368 9937 10792 19874 21584 37133 39748 74266 79496 148532 158992 297064 594128 705527 1411054 2822108 5644216 11288432