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11329984 = 262343179
BaseRepresentation
bin101011001110…
…000111000000
3210022121211001
4223032013000
510400024414
61042501344
7165206011
oct53160700
923277731
1011329984
116439426
123964854
132469043
14170d008
15edc074
hexace1c0

11329984 has 56 divisors (see below), whose sum is σ = 24140160. Its totient is φ = 5263104.

The previous prime is 11329979. The next prime is 11329987. The reversal of 11329984 is 48992311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11329987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63207 + ... + 63385.

Almost surely, 211329984 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 11329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070080).

11329984 is an abundant number, since it is smaller than the sum of its proper divisors (12810176).

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

11329984 is a wasteful number, since it uses less digits than its factorization.

11329984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The square root of 11329984 is about 3366.0041592369. The cubic root of 11329984 is about 224.6000070307.

The spelling of 11329984 in words is "eleven million, three hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 172 179 184 344 358 368 688 716 736 989 1376 1432 1472 1978 2752 2864 3956 4117 5728 7697 7912 8234 11456 15394 15824 16468 30788 31648 32936 61576 63296 65872 123152 131744 177031 246304 263488 354062 492608 708124 1416248 2832496 5664992 11329984