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12539680 = 255181433
BaseRepresentation
bin101111110101…
…011100100000
3212121002012121
4233311130200
511202232210
61124434024
7211404556
oct57653440
925532177
1012539680
11709527a
124248914
1327a083a
141945bd6
15117a6da
hexbf5720

12539680 has 48 divisors (see below), whose sum is σ = 29857464. Its totient is φ = 4976640.

The previous prime is 12539663. The next prime is 12539701. The reversal of 12539680 is 8693521.

It can be written as a sum of positive squares in 4 ways, for example, as 3370896 + 9168784 = 1836^2 + 3028^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28744 + ... + 29176.

Almost surely, 212539680 is an apocalyptic number.

12539680 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 12539680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928732).

12539680 is an abundant number, since it is smaller than the sum of its proper divisors (17317784).

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

12539680 is a wasteful number, since it uses less digits than its factorization.

12539680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 12539680 is about 3541.1410590373. The cubic root of 12539680 is about 232.3247532843.

The spelling of 12539680 in words is "twelve million, five hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 362 433 724 866 905 1448 1732 1810 2165 2896 3464 3620 4330 5792 6928 7240 8660 13856 14480 17320 28960 34640 69280 78373 156746 313492 391865 626984 783730 1253968 1567460 2507936 3134920 6269840 12539680