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12839280 = 243561877
BaseRepresentation
bin110000111110…
…100101110000
3220011022011220
4300332211300
511241324110
61135105040
7214063206
oct60764560
926138156
1012839280
11727a383
124372180
13287700c
1419c3076
1511d9370
hexc3e970

12839280 has 80 divisors (see below), whose sum is σ = 40500384. Its totient is φ = 3363840.

The previous prime is 12839279. The next prime is 12839287. The reversal of 12839280 is 8293821.

12839280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×128392802 = 329694221836800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12839287) 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, 14202 + ... + 15078.

Almost surely, 212839280 is an apocalyptic number.

12839280 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 12839280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20250192).

12839280 is an abundant number, since it is smaller than the sum of its proper divisors (27661104).

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

12839280 is a wasteful number, since it uses less digits than its factorization.

12839280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 12839280 is about 3583.1941058223. The cubic root of 12839280 is about 234.1604568260.

The spelling of 12839280 in words is "twelve million, eight hundred thirty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 877 915 976 1220 1464 1754 1830 2440 2631 2928 3508 3660 4385 4880 5262 7016 7320 8770 10524 13155 14032 14640 17540 21048 26310 35080 42096 52620 53497 70160 105240 106994 160491 210480 213988 267485 320982 427976 534970 641964 802455 855952 1069940 1283928 1604910 2139880 2567856 3209820 4279760 6419640 12839280