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12677980 = 2257137661
BaseRepresentation
bin110000010111…
…001101011100
3212212002220211
4300113031130
511221143410
61131422204
7212522020
oct60271534
925762824
1012677980
11717a177
1242b4964
13281b783
141980380
1511a668a
hexc1735c

12677980 has 48 divisors (see below), whose sum is σ = 30695616. Its totient is φ = 4308480.

The previous prime is 12677957. The next prime is 12677989. The reversal of 12677980 is 8977621.

12677980 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

12677980 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12677989) 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, 18850 + ... + 19510.

It is an arithmetic number, because the mean of its divisors is an integer number (639492).

Almost surely, 212677980 is an apocalyptic number.

12677980 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 12677980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15347808).

12677980 is an abundant number, since it is smaller than the sum of its proper divisors (18017636).

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

12677980 is a wasteful number, since it uses less digits than its factorization.

12677980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 12677980 is about 3560.6151153979. The cubic root of 12677980 is about 233.1757348483.

The spelling of 12677980 in words is "twelve million, six hundred seventy-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 661 685 959 1322 1370 1918 2644 2740 3305 3836 4627 4795 6610 9254 9590 13220 18508 19180 23135 46270 90557 92540 181114 362228 452785 633899 905570 1267798 1811140 2535596 3169495 6338990 12677980