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12432640 = 28511883
BaseRepresentation
bin101111011011…
…010100000000
3212101122101011
4233123110000
511140321030
61122250304
7210450523
oct57332400
925348334
1012432640
117021910
1241b6994
132763bbc
141918bba
151158b2a
hexbdb500

12432640 has 72 divisors (see below), whose sum is σ = 32524128. Its totient is φ = 4515840.

The previous prime is 12432601. The next prime is 12432683. The reversal of 12432640 is 4623421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13639 + ... + 14521.

It is an arithmetic number, because the mean of its divisors is an integer number (451724).

Almost surely, 212432640 is an apocalyptic number.

12432640 is a gapful number since it is divisible by the number (10) 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 12432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262064).

12432640 is an abundant number, since it is smaller than the sum of its proper divisors (20091488).

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

12432640 is an equidigital number, since it uses as much as digits as its factorization.

12432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 12432640 is about 3525.9948950615. The cubic root of 12432640 is about 231.6618140442.

It can be divided in two parts, 1243 and 2640, that added together give a palindrome (3883).

The spelling of 12432640 in words is "twelve million, four hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 883 1280 1408 1760 1766 2816 3520 3532 4415 7040 7064 8830 9713 14080 14128 17660 19426 28256 35320 38852 48565 56512 70640 77704 97130 113024 141280 155408 194260 226048 282560 310816 388520 565120 621632 777040 1130240 1243264 1554080 2486528 3108160 6216320 12432640