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13076080 = 245792069
BaseRepresentation
bin110001111000…
…011001110000
3220121100000021
4301320121300
511321413310
61144133224
7216100453
oct61703160
926540007
1013076080
117421286
124467214
13292aa34
141a4549a
1512345da
hexc78670

13076080 has 40 divisors (see below), whose sum is σ = 30801600. Its totient is φ = 5161728.

The previous prime is 13076053. The next prime is 13076093. The reversal of 13076080 is 8067031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 2.

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 7 ways as a sum of consecutive naturals, for example, 5286 + ... + 7354.

It is an arithmetic number, because the mean of its divisors is an integer number (770040).

Almost surely, 213076080 is an apocalyptic number.

13076080 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 13076080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400800).

13076080 is an abundant number, since it is smaller than the sum of its proper divisors (17725520).

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

13076080 is a wasteful number, since it uses less digits than its factorization.

13076080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 13076080 is about 3616.0862821564. The cubic root of 13076080 is about 235.5912680055.

The spelling of 13076080 in words is "thirteen million, seventy-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 2069 3160 4138 6320 8276 10345 16552 20690 33104 41380 82760 163451 165520 326902 653804 817255 1307608 1634510 2615216 3269020 6538040 13076080