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11032296 = 23311229131
BaseRepresentation
bin101010000101…
…011011101000
3202202111110120
4222011123220
510311013141
61032243240
7162526062
oct52053350
922674416
1011032296
116255800
123840520
1323936b2
141672732
15e7dc66
hexa856e8

11032296 has 96 divisors (see below), whose sum is σ = 31600800. Its totient is φ = 3203200.

The previous prime is 11032289. The next prime is 11032297. The reversal of 11032296 is 69223011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11032297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84151 + ... + 84281.

It is an arithmetic number, because the mean of its divisors is an integer number (329175).

Almost surely, 211032296 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 11032296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15800400).

11032296 is an abundant number, since it is smaller than the sum of its proper divisors (20568504).

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

11032296 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (11032295) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (191).

11032296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 11032296 is about 3321.4900270812. The cubic root of 11032296 is about 222.6154499117.

The spelling of 11032296 in words is "eleven million, thirty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 121 131 132 174 232 242 262 264 319 348 363 393 484 524 638 696 726 786 957 968 1048 1276 1441 1452 1572 1914 2552 2882 2904 3144 3509 3799 3828 4323 5764 7018 7598 7656 8646 10527 11397 11528 14036 15196 15851 17292 21054 22794 28072 30392 31702 34584 41789 42108 45588 47553 63404 83578 84216 91176 95106 125367 126808 167156 190212 250734 334312 380424 459679 501468 919358 1002936 1379037 1838716 2758074 3677432 5516148 11032296