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12544480 = 2551337163
BaseRepresentation
bin101111110110…
…100111100000
3212121022210101
4233312213200
511202410410
61124512144
7211424554
oct57664740
925538711
1012544480
117098943
12424b654
1327a2a90
141947864
15117bd3a
hexbf69e0

12544480 has 96 divisors (see below), whose sum is σ = 32979744. Its totient is φ = 4478976.

The previous prime is 12544451. The next prime is 12544481. The reversal of 12544480 is 8444521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12544481) 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, 76879 + ... + 77041.

It is an arithmetic number, because the mean of its divisors is an integer number (343539).

Almost surely, 212544480 is an apocalyptic number.

12544480 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 12544480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16489872).

12544480 is an abundant number, since it is smaller than the sum of its proper divisors (20435264).

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

12544480 is a wasteful number, since it uses less digits than its factorization.

12544480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 12544480 is about 3541.8187418331. The cubic root of 12544480 is about 232.3543929709.

The spelling of 12544480 in words is "twelve million, five hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 65 74 80 104 130 148 160 163 185 208 260 296 326 370 416 481 520 592 652 740 815 962 1040 1184 1304 1480 1630 1924 2080 2119 2405 2608 2960 3260 3848 4238 4810 5216 5920 6031 6520 7696 8476 9620 10595 12062 13040 15392 16952 19240 21190 24124 26080 30155 33904 38480 42380 48248 60310 67808 76960 78403 84760 96496 120620 156806 169520 192992 241240 313612 339040 392015 482480 627224 784030 964960 1254448 1568060 2508896 3136120 6272240 12544480