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11329824 = 2531110729
BaseRepresentation
bin101011001110…
…000100100000
3210022121121010
4223032010200
510400023244
61042500520
7165205362
oct53160440
923277533
1011329824
1164392a0
123964740
132468c4c
14170cd32
15edbeb9
hexace120

11329824 has 48 divisors (see below), whose sum is σ = 32447520. Its totient is φ = 3432960.

The previous prime is 11329793. The next prime is 11329841. The reversal of 11329824 is 42892311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11329791 and 11329800.

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, 4309 + ... + 6420.

It is an arithmetic number, because the mean of its divisors is an integer number (675990).

Almost surely, 211329824 is an apocalyptic number.

It is an amenable number.

11329824 is an abundant number, since it is smaller than the sum of its proper divisors (21117696).

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

11329824 is a wasteful number, since it uses less digits than its factorization.

11329824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10753 (or 10745 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11329824 is about 3365.9803920998. The cubic root of 11329824 is about 224.5989497721.

The spelling of 11329824 in words is "eleven million, three hundred twenty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 10729 21458 32187 42916 64374 85832 118019 128748 171664 236038 257496 343328 354057 472076 514992 708114 944152 1029984 1416228 1888304 2832456 3776608 5664912 11329824