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12026240 = 275192343
BaseRepresentation
bin101101111000…
…000110000000
3211121222220022
4231320012000
511034314430
61105433012
7204135632
oct55700600
924558808
1012026240
116874546
12403b768
132650c25
141850a52
1510c84e5
hexb78180

12026240 has 128 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 4257792.

The previous prime is 12026173. The next prime is 12026257. The reversal of 12026240 is 4262021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279659 + ... + 279701.

It is an arithmetic number, because the mean of its divisors is an integer number (252450).

Almost surely, 212026240 is an apocalyptic number.

12026240 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 12026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

12026240 is an abundant number, since it is smaller than the sum of its proper divisors (20287360).

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

12026240 is a wasteful number, since it uses less digits than its factorization.

12026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 12026240 is about 3467.8869647092. The cubic root of 12026240 is about 229.1096009242.

Adding to 12026240 its reverse (4262021), we get a palindrome (16288261).

The spelling of 12026240 in words is "twelve million, twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 43 46 64 76 80 86 92 95 115 128 152 160 172 184 190 215 230 304 320 344 368 380 430 437 460 608 640 688 736 760 817 860 874 920 989 1216 1376 1472 1520 1634 1720 1748 1840 1978 2185 2432 2752 2944 3040 3268 3440 3496 3680 3956 4085 4370 4945 5504 6080 6536 6880 6992 7360 7912 8170 8740 9890 12160 13072 13760 13984 14720 15824 16340 17480 18791 19780 26144 27520 27968 31648 32680 34960 37582 39560 52288 55936 63296 65360 69920 75164 79120 93955 104576 126592 130720 139840 150328 158240 187910 261440 279680 300656 316480 375820 522880 601312 632960 751640 1202624 1503280 2405248 3006560 6013120 12026240