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12706240 = 26559673
BaseRepresentation
bin110000011110…
…000111000000
3212220112200111
4300132013000
511223044430
61132201104
7213000301
oct60360700
925815614
1012706240
117199428
124309194
13282b5b1
14198a7a8
1511aec2a
hexc1e1c0

12706240 has 56 divisors (see below), whose sum is σ = 30815280. Its totient is φ = 4988928.

The previous prime is 12706237. The next prime is 12706241. The reversal of 12706240 is 4260721.

It is a super-2 number, since 2×127062402 = 322897069875200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12706241) 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, 18544 + ... + 19216.

Almost surely, 212706240 is an apocalyptic number.

12706240 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 12706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15407640).

12706240 is an abundant number, since it is smaller than the sum of its proper divisors (18109040).

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

12706240 is an equidigital number, since it uses as much as digits as its factorization.

12706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 12706240 is about 3564.5813218385. The cubic root of 12706240 is about 233.3488606447.

Adding to 12706240 its reverse (4260721), we get a palindrome (16966961).

The spelling of 12706240 in words is "twelve million, seven hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 295 320 472 590 673 944 1180 1346 1888 2360 2692 3365 3776 4720 5384 6730 9440 10768 13460 18880 21536 26920 39707 43072 53840 79414 107680 158828 198535 215360 317656 397070 635312 794140 1270624 1588280 2541248 3176560 6353120 12706240