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12970980 = 22325116551
BaseRepresentation
bin110001011110…
…101111100100
3220101222211200
4301132233210
511310032410
61142002500
7215152161
oct61365744
926358750
1012970980
11735a320
124416430
1328c1c49
141a19068
1512133c0
hexc5ebe4

12970980 has 72 divisors (see below), whose sum is σ = 42928704. Its totient is φ = 3144000.

The previous prime is 12970961. The next prime is 12970981. The reversal of 12970980 is 8907921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12970981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1296 + ... + 5255.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 212970980 is an apocalyptic number.

12970980 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 12970980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352).

12970980 is an abundant number, since it is smaller than the sum of its proper divisors (29957724).

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

12970980 is a wasteful number, since it uses less digits than its factorization.

12970980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6577 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 12970980 is about 3601.5246771333. The cubic root of 12970980 is about 234.9583750026.

The spelling of 12970980 in words is "twelve million, nine hundred seventy thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6551 13102 19653 26204 32755 39306 58959 65510 72061 78612 98265 117918 131020 144122 196530 216183 235836 288244 294795 360305 393060 432366 589590 648549 720610 864732 1080915 1179180 1297098 1441220 2161830 2594196 3242745 4323660 6485490 12970980