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12980000 = 25541159
BaseRepresentation
bin110001100000…
…111100100000
3220102110012202
4301200330200
511310330000
61142112332
7215220365
oct61407440
926373182
1012980000
117366080
12441b6a8
1328c6097
141a1c46c
151215dd5
hexc60f20

12980000 has 120 divisors (see below), whose sum is σ = 35426160. Its totient is φ = 4640000.

The previous prime is 12979987. The next prime is 12980029. The reversal of 12980000 is 8921.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219971 + ... + 220029.

It is an arithmetic number, because the mean of its divisors is an integer number (295218).

Almost surely, 212980000 is an apocalyptic number.

12980000 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 12980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713080).

12980000 is an abundant number, since it is smaller than the sum of its proper divisors (22446160).

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

12980000 is an equidigital number, since it uses as much as digits as its factorization.

12980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 12980000 is about 3602.7767069304. The cubic root of 12980000 is about 235.0128256166.

Adding to 12980000 its reverse (8921), we get a palindrome (12988921).

The spelling of 12980000 in words is "twelve million, nine hundred eighty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 59 80 88 100 110 118 125 160 176 200 220 236 250 275 295 352 400 440 472 500 550 590 625 649 800 880 944 1000 1100 1180 1250 1298 1375 1475 1760 1888 2000 2200 2360 2500 2596 2750 2950 3245 4000 4400 4720 5000 5192 5500 5900 6490 6875 7375 8800 9440 10000 10384 11000 11800 12980 13750 14750 16225 20000 20768 22000 23600 25960 27500 29500 32450 36875 44000 47200 51920 55000 59000 64900 73750 81125 103840 110000 118000 129800 147500 162250 220000 236000 259600 295000 324500 405625 519200 590000 649000 811250 1180000 1298000 1622500 2596000 3245000 6490000 12980000