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11329032 = 23311133301
BaseRepresentation
bin101011001101…
…111000001000
3210022120111210
4223031320020
510400012112
61042453120
7165203151
oct53157010
923276453
1011329032
116438740
1239641a0
132468790
14170c928
15edbb3c
hexacde08

11329032 has 64 divisors (see below), whose sum is σ = 33284160. Its totient is φ = 3168000.

The previous prime is 11329027. The next prime is 11329037. The reversal of 11329032 is 23092311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11329027) and next prime (11329037).

It is not an unprimeable number, because it can be changed into a prime (11329037) 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 15 ways as a sum of consecutive naturals, for example, 1782 + ... + 5082.

It is an arithmetic number, because the mean of its divisors is an integer number (520065).

Almost surely, 211329032 is an apocalyptic number.

11329032 is a gapful number since it is divisible by the number (12) 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 11329032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080).

11329032 is an abundant number, since it is smaller than the sum of its proper divisors (21955128).

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

11329032 is a wasteful number, since it uses less digits than its factorization.

11329032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 11329032 is about 3365.8627422995. The cubic root of 11329032 is about 224.5937161953.

The spelling of 11329032 in words is "eleven million, three hundred twenty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3301 3432 6602 9903 13204 19806 26408 36311 39612 42913 72622 79224 85826 108933 128739 145244 171652 217866 257478 290488 343304 435732 472043 514956 871464 944086 1029912 1416129 1888172 2832258 3776344 5664516 11329032