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11385432 = 2332315101
BaseRepresentation
bin101011011011…
…101001011000
3210102102212200
4223123221120
510403313212
61044010200
7165526452
oct53335130
923372780
1011385432
116477053
123990960
132488356
1417252d2
15eed6dc
hexadba58

11385432 has 48 divisors (see below), whose sum is σ = 31836480. Its totient is φ = 3672000.

The previous prime is 11385431. The next prime is 11385433. The reversal of 11385432 is 23458311.

It is a happy number.

11385432 is a `hidden beast` number, since 113 + 8 + 543 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11385431) and next prime (11385433).

It is a junction number, because it is equal to n+sod(n) for n = 11385396 and 11385405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11385431) 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 11 ways as a sum of consecutive naturals, for example, 319 + ... + 4782.

It is an arithmetic number, because the mean of its divisors is an integer number (663260).

Almost surely, 211385432 is an apocalyptic number.

11385432 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 11385432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918240).

11385432 is an abundant number, since it is smaller than the sum of its proper divisors (20451048).

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

11385432 is a wasteful number, since it uses less digits than its factorization.

11385432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5137 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 11385432 is about 3374.2305789617. The cubic root of 11385432 is about 224.9658022099.

The spelling of 11385432 in words is "eleven million, three hundred eighty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 5101 10202 15303 20404 30606 40808 45909 61212 91818 122424 158131 183636 316262 367272 474393 632524 948786 1265048 1423179 1897572 2846358 3795144 5692716 11385432