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12325032 = 2332712411
BaseRepresentation
bin101111000001…
…000010101000
3212012011202200
4233001002220
511123400112
61120100200
7206522016
oct57010250
925164680
1012325032
116a58a85
124164660
132726c25
1418cb8b6
151136cdc
hexbc10a8

12325032 has 48 divisors (see below), whose sum is σ = 33864480. Its totient is φ = 4048800.

The previous prime is 12325021. The next prime is 12325037. The reversal of 12325032 is 23052321.

It is a super-3 number, since 3×123250323 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 12324996 and 12325014.

It is not an unprimeable number, because it can be changed into a prime (12325037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3907 + ... + 6317.

It is an arithmetic number, because the mean of its divisors is an integer number (705510).

Almost surely, 212325032 is an apocalyptic number.

12325032 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 12325032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16932240).

12325032 is an abundant number, since it is smaller than the sum of its proper divisors (21539448).

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

12325032 is a wasteful number, since it uses less digits than its factorization.

12325032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 12325032 is about 3510.7024938038. The cubic root of 12325032 is about 230.9915103418.

Adding to 12325032 its reverse (23052321), we get a palindrome (35377353).

The spelling of 12325032 in words is "twelve million, three hundred twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2411 2556 4822 5112 7233 9644 14466 19288 21699 28932 43398 57864 86796 171181 173592 342362 513543 684724 1027086 1369448 1540629 2054172 3081258 4108344 6162516 12325032