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12385032 = 23311431091
BaseRepresentation
bin101111001111…
…101100001000
3212022020001220
4233033230020
511132310112
61121242040
7210161652
oct57175410
925266056
1012385032
116a9a070
124193320
13274832a
1419056d2
15114998c
hexbcfb08

12385032 has 64 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 3662400.

The previous prime is 12385031. The next prime is 12385033. The reversal of 12385032 is 23058321.

It is an interprime number because it is at equal distance from previous prime (12385031) and next prime (12385033).

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

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 12384993 and 12385011.

It is not an unprimeable number, because it can be changed into a prime (12385031) 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 15 ways as a sum of consecutive naturals, for example, 10807 + ... + 11897.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 212385032 is an apocalyptic number.

12385032 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 12385032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

12385032 is an abundant number, since it is smaller than the sum of its proper divisors (22209528).

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

12385032 is a wasteful number, since it uses less digits than its factorization.

12385032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 12385032 is about 3519.2374173960. The cubic root of 12385032 is about 231.3657368553.

Subtracting 12385032 from its reverse (23058321), we obtain a square (10673289 = 32672).

The spelling of 12385032 in words is "twelve million, three hundred eighty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1091 1419 1892 2182 2838 3273 3784 4364 5676 6546 8728 11352 12001 13092 24002 26184 36003 46913 48004 72006 93826 96008 140739 144012 187652 281478 288024 375304 516043 562956 1032086 1125912 1548129 2064172 3096258 4128344 6192516 12385032