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12332640 = 253525693
BaseRepresentation
bin101111000010…
…111001100000
3212012120012110
4233002321200
511124121030
61120155320
7206553135
oct57027140
925176173
1012332640
116a63771
124168b40
13272a528
1418d058c
1511391b0
hexbc2e60

12332640 has 48 divisors (see below), whose sum is σ = 38849328. Its totient is φ = 3288576.

The previous prime is 12332609. The next prime is 12332647. The reversal of 12332640 is 4623321.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332647) by changing a digit.

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, 12367 + ... + 13326.

It is an arithmetic number, because the mean of its divisors is an integer number (809361).

Almost surely, 212332640 is an apocalyptic number.

12332640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332640 is an abundant number, since it is smaller than the sum of its proper divisors (26516688).

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

12332640 is a wasteful number, since it uses less digits than its factorization.

12332640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25711 (or 25703 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 12332640 is about 3511.7858704653. The cubic root of 12332640 is about 231.0390294054.

Adding to 12332640 its reverse (4623321), we get a palindrome (16955961).

The spelling of 12332640 in words is "twelve million, three hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25693 51386 77079 102772 128465 154158 205544 256930 308316 385395 411088 513860 616632 770790 822176 1027720 1233264 1541580 2055440 2466528 3083160 4110880 6166320 12332640