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12827780 = 2257591553
BaseRepresentation
bin110000111011…
…110010000100
3220010201101222
4300323302010
511240442110
61134535512
7214014530
oct60736204
926121358
1012827780
117271779
124367598
132871a04
1419bcbc0
1511d5c55
hexc3bc84

12827780 has 48 divisors (see below), whose sum is σ = 31328640. Its totient is φ = 4320768.

The previous prime is 12827761. The next prime is 12827797. The reversal of 12827780 is 8772821.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 12827780.

It is an unprimeable number.

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, 7484 + ... + 9036.

It is an arithmetic number, because the mean of its divisors is an integer number (652680).

Almost surely, 212827780 is an apocalyptic number.

12827780 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 12827780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664320).

12827780 is an abundant number, since it is smaller than the sum of its proper divisors (18500860).

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

12827780 is a wasteful number, since it uses less digits than its factorization.

12827780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 12827780 is about 3581.5890328177. The cubic root of 12827780 is about 234.0905243055.

The spelling of 12827780 in words is "twelve million, eight hundred twenty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1553 1652 2065 3106 4130 6212 7765 8260 10871 15530 21742 31060 43484 54355 91627 108710 183254 217420 366508 458135 641389 916270 1282778 1832540 2565556 3206945 6413890 12827780