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12580320 = 253526209
BaseRepresentation
bin101111111111…
…010111100000
3212200010221210
4233333113200
511210032240
61125350120
7211634214
oct57772740
925603853
1012580320
117112865
124268340
1327b619c
141956944
151187780
hexbff5e0

12580320 has 48 divisors (see below), whose sum is σ = 39629520. Its totient is φ = 3354624.

The previous prime is 12580313. The next prime is 12580339. The reversal of 12580320 is 2308521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12625 + ... + 13584.

It is an arithmetic number, because the mean of its divisors is an integer number (825615).

Almost surely, 212580320 is an apocalyptic number.

12580320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12580320 is an abundant number, since it is smaller than the sum of its proper divisors (27049200).

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

12580320 is a wasteful number, since it uses less digits than its factorization.

12580320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26227 (or 26219 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12580320 is about 3546.8746806167. The cubic root of 12580320 is about 232.5754639993.

Adding to 12580320 its reverse (2308521), we get a palindrome (14888841).

The spelling of 12580320 in words is "twelve million, five hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26209 52418 78627 104836 131045 157254 209672 262090 314508 393135 419344 524180 629016 786270 838688 1048360 1258032 1572540 2096720 2516064 3145080 4193440 6290160 12580320