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13055800 = 2352292251
BaseRepresentation
bin110001110011…
…011100111000
3220120022012011
4301303130320
511320241200
61143455304
7215654362
oct61633470
926508164
1013055800
11740801a
124457534
132921734
141a3bd32
15122d5ba
hexc73738

13055800 has 48 divisors (see below), whose sum is σ = 31415400. Its totient is φ = 5040000.

The previous prime is 13055773. The next prime is 13055803. The reversal of 13055800 is 855031.

It is a super-3 number, since 3×130558003 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13055803) 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 11 ways as a sum of consecutive naturals, for example, 4675 + ... + 6925.

Almost surely, 213055800 is an apocalyptic number.

13055800 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 13055800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15707700).

13055800 is an abundant number, since it is smaller than the sum of its proper divisors (18359600).

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

13055800 is a wasteful number, since it uses less digits than its factorization.

13055800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 13055800 is about 3613.2810574324. The cubic root of 13055800 is about 235.4694103070.

The spelling of 13055800 in words is "thirteen million, fifty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2251 2900 4502 5800 9004 11255 18008 22510 45020 56275 65279 90040 112550 130558 225100 261116 326395 450200 522232 652790 1305580 1631975 2611160 3263950 6527900 13055800