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12323040 = 253525673
BaseRepresentation
bin101111000000…
…100011100000
3212012002000220
4233000203200
511123314130
61120043040
7206513142
oct57004340
925162026
1012323040
116a57534
124163480
132726052
1418cac92
151136410
hexbc08e0

12323040 has 48 divisors (see below), whose sum is σ = 38819088. Its totient is φ = 3286016.

The previous prime is 12323021. The next prime is 12323041. The reversal of 12323040 is 4032321.

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12357 + ... + 13316.

It is an arithmetic number, because the mean of its divisors is an integer number (808731).

Almost surely, 212323040 is an apocalyptic number.

12323040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12323040 is an abundant number, since it is smaller than the sum of its proper divisors (26496048).

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

12323040 is a wasteful number, since it uses less digits than its factorization.

12323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25691 (or 25683 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 12323040 is about 3510.4187784366. The cubic root of 12323040 is about 230.9790652117.

Adding to 12323040 its reverse (4032321), we get a palindrome (16355361).

The spelling of 12323040 in words is "twelve million, three hundred twenty-three thousand, 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 25673 51346 77019 102692 128365 154038 205384 256730 308076 385095 410768 513460 616152 770190 821536 1026920 1232304 1540380 2053840 2464608 3080760 4107680 6161520 12323040