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12432992 = 2511213219
BaseRepresentation
bin101111011011…
…011001100000
3212101122212012
4233123121200
511140323432
61122252052
7210451535
oct57333140
925348765
1012432992
117022100
1241b7028
132764100
141918d8c
151158cb2
hexbdb660

12432992 has 108 divisors (see below), whose sum is σ = 30667140. Its totient is φ = 4942080.

The previous prime is 12432971. The next prime is 12432997. The reversal of 12432992 is 29923421.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432997) 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 17 ways as a sum of consecutive naturals, for example, 654359 + ... + 654377.

It is an arithmetic number, because the mean of its divisors is an integer number (283955).

Almost surely, 212432992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12432992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15333570).

12432992 is an abundant number, since it is smaller than the sum of its proper divisors (18234148).

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

12432992 is a wasteful number, since it uses less digits than its factorization.

12432992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 45 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 12432992 is about 3526.0448096983. The cubic root of 12432992 is about 231.6640003374.

It can be divided in two parts, 124329 and 92, that added together give a palindrome (124421).

The spelling of 12432992 in words is "twelve million, four hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 76 88 104 121 143 152 169 176 208 209 242 247 286 304 338 352 416 418 484 494 572 608 676 836 968 988 1144 1352 1573 1672 1859 1936 1976 2288 2299 2704 2717 3146 3211 3344 3718 3872 3952 4576 4598 5408 5434 6292 6422 6688 7436 7904 9196 10868 12584 12844 14872 18392 20449 21736 25168 25688 29744 29887 35321 36784 40898 43472 50336 51376 59488 59774 70642 73568 81796 86944 102752 119548 141284 163592 239096 282568 327184 388531 478192 565136 654368 777062 956384 1130272 1554124 3108248 6216496 12432992