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12068736 = 27353593
BaseRepresentation
bin101110000010…
…011110000000
3211201011012020
4232002132000
511042144421
61110401440
7204403551
oct56023600
924634166
1012068736
1168a3469
124060280
132667384
141862328
1510d5dc6
hexb82780

12068736 has 64 divisors (see below), whose sum is σ = 32717520. Its totient is φ = 3940352.

The previous prime is 12068731. The next prime is 12068737. The reversal of 12068736 is 63786021.

12068736 = 11542 + 11552 + ... + 11622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12068697 and 12068706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12068731) 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, 20056 + ... + 20648.

Almost surely, 212068736 is an apocalyptic number.

12068736 is a gapful number since it is divisible by the number (16) 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 12068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358760).

12068736 is an abundant number, since it is smaller than the sum of its proper divisors (20648784).

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

12068736 is an equidigital number, since it uses as much as digits as its factorization.

12068736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 12068736 is about 3474.0086355679. The cubic root of 12068736 is about 229.3791447451.

The spelling of 12068736 in words is "twelve million, sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 593 636 848 1186 1272 1696 1779 2372 2544 3392 3558 4744 5088 6784 7116 9488 10176 14232 18976 20352 28464 31429 37952 56928 62858 75904 94287 113856 125716 188574 227712 251432 377148 502864 754296 1005728 1508592 2011456 3017184 4022912 6034368 12068736