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13055400 = 2332527253
BaseRepresentation
bin110001110011…
…010110101000
3220120021122100
4301303112220
511320233100
61143453400
7215653251
oct61632650
926507570
1013055400
117407796
124457260
1329214b7
141a3bb28
15122d400
hexc735a8

13055400 has 72 divisors (see below), whose sum is σ = 43850430. Its totient is φ = 3480960.

The previous prime is 13055389. The next prime is 13055401. The reversal of 13055400 is 455031.

13055400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10929636 + 2125764 = 3306^2 + 1458^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13055401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1827 + ... + 5426.

Almost surely, 213055400 is an apocalyptic number.

13055400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13055400 is an abundant number, since it is smaller than the sum of its proper divisors (30795030).

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

13055400 is a wasteful number, since it uses less digits than its factorization.

13055400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7275 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13055400 is about 3613.2257056542. The cubic root of 13055400 is about 235.4670055335.

The spelling of 13055400 in words is "thirteen million, fifty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 7253 14506 21759 29012 36265 43518 58024 65277 72530 87036 108795 130554 145060 174072 181325 217590 261108 290120 326385 362650 435180 522216 543975 652770 725300 870360 1087950 1305540 1450600 1631925 2175900 2611080 3263850 4351800 6527700 13055400