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12054432 = 253132743
BaseRepresentation
bin101101111110…
…111110100000
3211200102120110
4231332332200
511041220212
61110211320
7204314055
oct55767640
924612513
1012054432
116893745
124053b40
132660a00
14185b02c
1510d1a3c
hexb7efa0

12054432 has 72 divisors (see below), whose sum is σ = 34310304. Its totient is φ = 3704064.

The previous prime is 12054431. The next prime is 12054463. The reversal of 12054432 is 23445021.

It is a junction number, because it is equal to n+sod(n) for n = 12054399 and 12054408.

It is not an unprimeable number, because it can be changed into a prime (12054431) 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, 15853 + ... + 16595.

It is an arithmetic number, because the mean of its divisors is an integer number (476532).

Almost surely, 212054432 is an apocalyptic number.

12054432 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 12054432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17155152).

12054432 is an abundant number, since it is smaller than the sum of its proper divisors (22255872).

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

12054432 is a wasteful number, since it uses less digits than its factorization.

12054432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 12054432 is about 3471.9493083857. The cubic root of 12054432 is about 229.2884880163.

Adding to 12054432 its reverse (23445021), we get a palindrome (35499453).

The spelling of 12054432 in words is "twelve million, fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 743 1014 1248 1352 1486 2028 2229 2704 2972 4056 4458 5408 5944 8112 8916 9659 11888 16224 17832 19318 23776 28977 35664 38636 57954 71328 77272 115908 125567 154544 231816 251134 309088 376701 463632 502268 753402 927264 1004536 1506804 2009072 3013608 4018144 6027216 12054432