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13054960 = 245533079
BaseRepresentation
bin110001110011…
…001111110000
3220120021001001
4301303033300
511320224320
61143451344
7215652052
oct61631760
926507031
1013054960
117407426
124456b54
132921239
141a3b8d2
15122d20a
hexc733f0

13054960 has 40 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 5121792.

The previous prime is 13054949. The next prime is 13054973. The reversal of 13054960 is 6945031.

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2701 + ... + 5779.

It is an arithmetic number, because the mean of its divisors is an integer number (773388).

Almost surely, 213054960 is an apocalyptic number.

13054960 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 13054960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

13054960 is an abundant number, since it is smaller than the sum of its proper divisors (17880560).

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

13054960 is a wasteful number, since it uses less digits than its factorization.

13054960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 13054960 is about 3613.1648177187. The cubic root of 13054960 is about 235.4643602259.

Adding to 13054960 its reverse (6945031), we get a palindrome (19999991).

The spelling of 13054960 in words is "thirteen million, fifty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 3079 4240 6158 12316 15395 24632 30790 49264 61580 123160 163187 246320 326374 652748 815935 1305496 1631870 2610992 3263740 6527480 13054960