Search a number
-
+
12731520 = 273519349
BaseRepresentation
bin110000100100…
…010010000000
3212221211100210
4300210102000
511224402040
61132514120
7213134064
oct60442200
925854323
1012731520
11720641a
12431b940
132839c59
141995aa4
1511b7480
hexc24480

12731520 has 128 divisors (see below), whose sum is σ = 42840000. Its totient is φ = 3207168.

The previous prime is 12731503. The next prime is 12731531. The reversal of 12731520 is 2513721.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36306 + ... + 36654.

Almost surely, 212731520 is an apocalyptic number.

12731520 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 12731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21420000).

12731520 is an abundant number, since it is smaller than the sum of its proper divisors (30108480).

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

12731520 is a wasteful number, since it uses less digits than its factorization.

12731520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 12731520 is about 3568.1255583289. The cubic root of 12731520 is about 233.5035130389.

The spelling of 12731520 in words is "twelve million, seven hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 349 380 384 456 480 570 608 640 698 760 912 960 1047 1140 1216 1396 1520 1745 1824 1920 2094 2280 2432 2792 3040 3490 3648 4188 4560 5235 5584 6080 6631 6980 7296 8376 9120 10470 11168 12160 13262 13960 16752 18240 19893 20940 22336 26524 27920 33155 33504 36480 39786 41880 44672 53048 55840 66310 67008 79572 83760 99465 106096 111680 132620 134016 159144 167520 198930 212192 223360 265240 318288 335040 397860 424384 530480 636576 670080 795720 848768 1060960 1273152 1591440 2121920 2546304 3182880 4243840 6365760 12731520