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13078480 = 245163481
BaseRepresentation
bin110001111000…
…111111010000
3220121110022011
4301320333100
511322002410
61144152304
7216110452
oct61707720
926543264
1013078480
117423068
124468694
13292bb5c
141a462d2
15123518a
hexc78fd0

13078480 has 20 divisors (see below), whose sum is σ = 30407652. Its totient is φ = 5231360.

The previous prime is 13078477. The next prime is 13078487. The reversal of 13078480 is 8487031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8785296 + 4293184 = 2964^2 + 2072^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×130784802 = 342093278220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13078487) 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, 81661 + ... + 81820.

Almost surely, 213078480 is an apocalyptic number.

13078480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13078480 is an abundant number, since it is smaller than the sum of its proper divisors (17329172).

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

13078480 is a wasteful number, since it uses less digits than its factorization.

13078480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163494 (or 163488 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 13078480 is about 3616.4181174195. The cubic root of 13078480 is about 235.6056806953.

The spelling of 13078480 in words is "thirteen million, seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163481 326962 653924 817405 1307848 1634810 2615696 3269620 6539240 13078480