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13096980 = 223251329193
BaseRepresentation
bin110001111101…
…100000010100
3220122101200100
4301331200110
511323100410
61144414100
7216215421
oct61754024
926571610
1013096980
117435a56
124477330
1329373c0
141a4cd48
15123a8c0
hexc7d814

13096980 has 144 divisors (see below), whose sum is σ = 44488080. Its totient is φ = 3096576.

The previous prime is 13096969. The next prime is 13096991. The reversal of 13096980 is 8969031.

It is an interprime number because it is at equal distance from previous prime (13096969) and next prime (13096991).

It can be written as a sum of positive squares in 8 ways, for example, as 1887876 + 11209104 = 1374^2 + 3348^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67764 + ... + 67956.

It is an arithmetic number, because the mean of its divisors is an integer number (308945).

Almost surely, 213096980 is an apocalyptic number.

13096980 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 13096980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22244040).

13096980 is an abundant number, since it is smaller than the sum of its proper divisors (31391100).

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

13096980 is a wasteful number, since it uses less digits than its factorization.

13096980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 13096980 is about 3618.9749930056. The cubic root of 13096980 is about 235.7167193767.

The spelling of 13096980 in words is "thirteen million, ninety-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 193 195 234 260 261 290 348 377 386 390 435 468 522 579 580 585 754 772 780 870 965 1044 1131 1158 1170 1305 1508 1737 1740 1885 1930 2262 2316 2340 2509 2610 2895 3393 3474 3770 3860 4524 5018 5220 5597 5655 5790 6786 6948 7527 7540 8685 10036 11194 11310 11580 12545 13572 15054 16791 16965 17370 22388 22581 22620 25090 27985 30108 33582 33930 34740 37635 45162 50180 50373 55970 67164 67860 72761 75270 83955 90324 100746 111940 112905 145522 150540 167910 201492 218283 225810 251865 291044 335820 363805 436566 451620 503730 654849 727610 873132 1007460 1091415 1309698 1455220 2182830 2619396 3274245 4365660 6548490 13096980