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12725280 = 253258837
BaseRepresentation
bin110000100010…
…110000100000
3212221111210200
4300202300200
511224202110
61132425200
7213106641
oct60426040
925844720
1012725280
117201767
124318200
132837169
1419936c8
1511b56c0
hexc22c20

12725280 has 72 divisors (see below), whose sum is σ = 43429932. Its totient is φ = 3393024.

The previous prime is 12725263. The next prime is 12725281. The reversal of 12725280 is 8252721.

It can be written as a sum of positive squares in 2 ways, for example, as 11532816 + 1192464 = 3396^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12725281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2979 + ... + 5858.

Almost surely, 212725280 is an apocalyptic number.

12725280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12725280 is an abundant number, since it is smaller than the sum of its proper divisors (30704652).

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

12725280 is a wasteful number, since it uses less digits than its factorization.

12725280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8858 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12725280 is about 3567.2510424695. The cubic root of 12725280 is about 233.4653583898.

The spelling of 12725280 in words is "twelve million, seven hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8837 17674 26511 35348 44185 53022 70696 79533 88370 106044 132555 141392 159066 176740 212088 265110 282784 318132 353480 397665 424176 530220 636264 706960 795330 848352 1060440 1272528 1413920 1590660 2120880 2545056 3181320 4241760 6362640 12725280