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12448980 = 22325233197
BaseRepresentation
bin101111011111…
…010011010100
3212102110210100
4233133103110
511141331410
61122454100
7210546255
oct57372324
925373710
1012448980
117033115
124204330
13276b47b
141920b2c
15115d8c0
hexbdf4d4

12448980 has 144 divisors (see below), whose sum is σ = 41094144. Its totient is φ = 3041280.

The previous prime is 12448967. The next prime is 12448987. The reversal of 12448980 is 8984421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12448987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128292 + ... + 128388.

It is an arithmetic number, because the mean of its divisors is an integer number (285376).

Almost surely, 212448980 is an apocalyptic number.

12448980 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 12448980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547072).

12448980 is an abundant number, since it is smaller than the sum of its proper divisors (28645164).

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

12448980 is a wasteful number, since it uses less digits than its factorization.

12448980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12448980 is about 3528.3112107636. The cubic root of 12448980 is about 231.7632592966.

The spelling of 12448980 in words is "twelve million, four hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 90 92 93 97 115 124 138 155 180 186 194 207 230 276 279 291 310 345 372 388 414 460 465 485 558 582 620 690 713 828 873 930 970 1035 1116 1164 1380 1395 1426 1455 1746 1860 1940 2070 2139 2231 2790 2852 2910 3007 3492 3565 4140 4278 4365 4462 5580 5820 6014 6417 6693 7130 8556 8730 8924 9021 10695 11155 12028 12834 13386 14260 15035 17460 18042 20079 21390 22310 25668 26772 27063 30070 32085 33465 36084 40158 42780 44620 45105 54126 60140 64170 66930 69161 80316 90210 100395 108252 128340 133860 135315 138322 180420 200790 207483 270630 276644 345805 401580 414966 541260 622449 691610 829932 1037415 1244898 1383220 2074830 2489796 3112245 4149660 6224490 12448980