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12791340 = 22325179397
BaseRepresentation
bin110000110010…
…111000101100
3220001212102100
4300302320230
511233310330
61134055100
7213503352
oct60627054
926055370
1012791340
117247361
12434a490
13285b253
1419ad7d2
1511ca060
hexc32e2c

12791340 has 72 divisors (see below), whose sum is σ = 39115440. Its totient is φ = 3383424.

The previous prime is 12791333. The next prime is 12791341. The reversal of 12791340 is 4319721.

12791340 = T285 + T286 + ... + T463.

It is not an unprimeable number, because it can be changed into a prime (12791341) 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 23 ways as a sum of consecutive naturals, for example, 32022 + ... + 32418.

It is an arithmetic number, because the mean of its divisors is an integer number (543270).

Almost surely, 212791340 is an apocalyptic number.

12791340 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 12791340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19557720).

12791340 is an abundant number, since it is smaller than the sum of its proper divisors (26324100).

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

12791340 is a wasteful number, since it uses less digits than its factorization.

12791340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12791340 is about 3576.4982874314. The cubic root of 12791340 is about 233.8686530020.

It can be divided in two parts, 12791 and 340, that added together give a palindrome (13131).

The spelling of 12791340 in words is "twelve million, seven hundred ninety-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 397 537 716 794 895 1074 1191 1588 1611 1790 1985 2148 2382 2685 3222 3573 3580 3970 4764 5370 5955 6444 7146 7940 8055 10740 11910 14292 16110 17865 23820 32220 35730 71063 71460 142126 213189 284252 355315 426378 639567 710630 852756 1065945 1279134 1421260 2131890 2558268 3197835 4263780 6395670 12791340