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12980835 = 32573292
BaseRepresentation
bin110001100001…
…001001100011
3220102111100200
4301201021203
511310341320
61142120243
7215223000
oct61411143
926374320
1012980835
11736676a
124420083
1328c658a
141a1c8a7
151216290
hexc61263

12980835 has 72 divisors (see below), whose sum is σ = 27175200. Its totient is φ = 5729472.

The previous prime is 12980783. The next prime is 12980837. The reversal of 12980835 is 53808921.

It is not a de Polignac number, because 12980835 - 217 = 12849763 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12980835.

It is not an unprimeable number, because it can be changed into a prime (12980837) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 447601 + ... + 447629.

Almost surely, 212980835 is an apocalyptic number.

12980835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12980835 is an abundant number, since it is smaller than the sum of its proper divisors (14194365).

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

12980835 is an equidigital number, since it uses as much as digits as its factorization.

12980835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 12980835 is about 3602.8925879077. The cubic root of 12980835 is about 235.0178649464.

The spelling of 12980835 in words is "twelve million, nine hundred eighty thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 49 63 87 105 145 147 203 245 261 315 343 435 441 609 735 841 1015 1029 1305 1421 1715 1827 2205 2523 3045 3087 4205 4263 5145 5887 7105 7569 9135 9947 12615 12789 15435 17661 21315 29435 29841 37845 41209 49735 52983 63945 88305 89523 123627 149205 206045 264915 288463 370881 447615 618135 865389 1442315 1854405 2596167 4326945 12980835