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12841320 = 2335113947
BaseRepresentation
bin110000111111…
…000101101000
3220011101222110
4300333011220
511241410240
61135122320
7214102152
oct60770550
926141873
1012841320
117280968
1243733a0
132877c1b
1419c3ad2
1511d9c80
hexc3f168

12841320 has 64 divisors (see below), whose sum is σ = 38905920. Its totient is φ = 3390464.

The previous prime is 12841313. The next prime is 12841327. The reversal of 12841320 is 2314821.

12841320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12841313) and next prime (12841327).

It is not an unprimeable number, because it can be changed into a prime (12841327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13087 + ... + 14033.

It is an arithmetic number, because the mean of its divisors is an integer number (607905).

Almost surely, 212841320 is an apocalyptic number.

12841320 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 12841320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19452960).

12841320 is an abundant number, since it is smaller than the sum of its proper divisors (26064600).

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

12841320 is a wasteful number, since it uses less digits than its factorization.

12841320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12841320 is about 3583.4787567390. The cubic root of 12841320 is about 234.1728578858.

The spelling of 12841320 in words is "twelve million, eight hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 947 1130 1356 1695 1894 2260 2712 2841 3390 3788 4520 4735 5682 6780 7576 9470 11364 13560 14205 18940 22728 28410 37880 56820 107011 113640 214022 321033 428044 535055 642066 856088 1070110 1284132 1605165 2140220 2568264 3210330 4280440 6420660 12841320