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12040704 = 29331367
BaseRepresentation
bin101101111011…
…101000000000
3211122201202000
4231323220000
511040300304
61110024000
7204226044
oct55735000
924581660
1012040704
1168843a5
124048000
1326576a0
141856024
1510cc939
hexb7ba00

12040704 has 160 divisors (see below), whose sum is σ = 38955840. Its totient is φ = 3649536.

The previous prime is 12040703. The next prime is 12040711. The reversal of 12040704 is 40704021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040703) 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 15 ways as a sum of consecutive naturals, for example, 179679 + ... + 179745.

It is an arithmetic number, because the mean of its divisors is an integer number (243474).

Almost surely, 212040704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19477920).

12040704 is an abundant number, since it is smaller than the sum of its proper divisors (26915136).

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

12040704 is an equidigital number, since it uses as much as digits as its factorization.

12040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12040704 is about 3469.9717578101. The cubic root of 12040704 is about 229.2014144262.

Adding to 12040704 its reverse (40704021), we get a palindrome (52744725).

The spelling of 12040704 in words is "twelve million, forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 67 72 78 96 104 108 117 128 134 144 156 192 201 208 216 234 256 268 288 312 351 384 402 416 432 468 512 536 576 603 624 702 768 804 832 864 871 936 1072 1152 1206 1248 1404 1536 1608 1664 1728 1742 1809 1872 2144 2304 2412 2496 2613 2808 3216 3328 3456 3484 3618 3744 4288 4608 4824 4992 5226 5616 6432 6656 6912 6968 7236 7488 7839 8576 9648 9984 10452 11232 12864 13824 13936 14472 14976 15678 17152 19296 19968 20904 22464 23517 25728 27872 28944 29952 31356 34304 38592 41808 44928 47034 51456 55744 57888 59904 62712 77184 83616 89856 94068 102912 111488 115776 125424 154368 167232 179712 188136 222976 231552 250848 308736 334464 376272 445952 463104 501696 668928 752544 926208 1003392 1337856 1505088 2006784 3010176 4013568 6020352 12040704