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12327420 = 223573599
BaseRepresentation
bin101111000001…
…100111111100
3212012022001010
4233001213330
511123434140
61120115220
7206532000
oct57014774
925168033
1012327420
116a5a856
124165b10
132728041
1418cc700
151137880
hexbc19fc

12327420 has 96 divisors (see below), whose sum is σ = 40320000. Its totient is φ = 2812992.

The previous prime is 12327377. The next prime is 12327421. The reversal of 12327420 is 2472321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12327421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20281 + ... + 20879.

It is an arithmetic number, because the mean of its divisors is an integer number (420000).

Almost surely, 212327420 is an apocalyptic number.

12327420 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 12327420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160000).

12327420 is an abundant number, since it is smaller than the sum of its proper divisors (27992580).

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

12327420 is a wasteful number, since it uses less digits than its factorization.

12327420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 12327420 is about 3511.0425802032. The cubic root of 12327420 is about 231.0064277367.

Adding to 12327420 its reverse (2472321), we get a palindrome (14799741).

The spelling of 12327420 in words is "twelve million, three hundred twenty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 599 686 735 980 1029 1198 1372 1470 1715 1797 2058 2396 2940 2995 3430 3594 4116 4193 5145 5990 6860 7188 8386 8985 10290 11980 12579 16772 17970 20580 20965 25158 29351 35940 41930 50316 58702 62895 83860 88053 117404 125790 146755 176106 205457 251580 293510 352212 410914 440265 587020 616371 821828 880530 1027285 1232742 1761060 2054570 2465484 3081855 4109140 6163710 12327420