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13196980 = 225659849
BaseRepresentation
bin110010010101…
…111010110100
3220211110212001
4302111322310
511334300410
61150505044
7220113106
oct62257264
926743761
1013196980
1174a40a5
124505184
132970a84
141a77576
15125a33a
hexc95eb4

13196980 has 12 divisors (see below), whose sum is σ = 27713700. Its totient is φ = 5278784.

The previous prime is 13196977. The next prime is 13196987. The reversal of 13196980 is 8969131.

It can be written as a sum of positive squares in 2 ways, for example, as 4112784 + 9084196 = 2028^2 + 3014^2 .

It is a super-2 number, since 2×131969802 = 348320562240800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13196987) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 329905 + ... + 329944.

It is an arithmetic number, because the mean of its divisors is an integer number (2309475).

Almost surely, 213196980 is an apocalyptic number.

13196980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13196980 is an abundant number, since it is smaller than the sum of its proper divisors (14516720).

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

13196980 is a wasteful number, since it uses less digits than its factorization.

13196980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659858 (or 659856 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 13196980 is about 3632.7647873211. The cubic root of 13196980 is about 236.3151253321.

The spelling of 13196980 in words is "thirteen million, one hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 659849 1319698 2639396 3299245 6598490 13196980