Search a number
-
+
12443280 = 2435139373
BaseRepresentation
bin101111011101…
…111010010000
3212102011222020
4233131322100
511141141110
61122411440
7210523533
oct57357220
925364866
1012443280
117029903
124200b80
1327689b5
14191ca1a
15115bd70
hexbdde90

12443280 has 80 divisors (see below), whose sum is σ = 38955840. Its totient is φ = 3285504.

The previous prime is 12443273. The next prime is 12443281. The reversal of 12443280 is 8234421.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12443280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12443281) 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, 33174 + ... + 33546.

It is an arithmetic number, because the mean of its divisors is an integer number (486948).

Almost surely, 212443280 is an apocalyptic number.

12443280 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 12443280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19477920).

12443280 is an abundant number, since it is smaller than the sum of its proper divisors (26512560).

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

12443280 is a wasteful number, since it uses less digits than its factorization.

12443280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 12443280 is about 3527.5033664052. The cubic root of 12443280 is about 231.7278815052.

The spelling of 12443280 in words is "twelve million, four hundred forty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 373 417 556 695 746 834 1112 1119 1390 1492 1668 1865 2085 2224 2238 2780 2984 3336 3730 4170 4476 5560 5595 5968 6672 7460 8340 8952 11120 11190 14920 16680 17904 22380 29840 33360 44760 51847 89520 103694 155541 207388 259235 311082 414776 518470 622164 777705 829552 1036940 1244328 1555410 2073880 2488656 3110820 4147760 6221640 12443280