Search a number
-
+
12432096 = 253314389
BaseRepresentation
bin101111011011…
…001011100000
3212101121122000
4233123023200
511140311341
61122244000
7210446115
oct57331340
925347560
1012432096
117021466
1241b6600
132763891
14191890c
1511588b6
hexbdb2e0

12432096 has 48 divisors (see below), whose sum is σ = 36262800. Its totient is φ = 4143744.

The previous prime is 12432089. The next prime is 12432107. The reversal of 12432096 is 69023421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6331 + ... + 8058.

It is an arithmetic number, because the mean of its divisors is an integer number (755475).

Almost surely, 212432096 is an apocalyptic number.

12432096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12432096 is an abundant number, since it is smaller than the sum of its proper divisors (23830704).

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

12432096 is a wasteful number, since it uses less digits than its factorization.

12432096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14408 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12432096 is about 3525.9177528695. The cubic root of 12432096 is about 231.6584351462.

The spelling of 12432096 in words is "twelve million, four hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14389 28778 43167 57556 86334 115112 129501 172668 230224 259002 345336 388503 460448 518004 690672 777006 1036008 1381344 1554012 2072016 3108024 4144032 6216048 12432096