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13300180 = 2251096101
BaseRepresentation
bin110010101111…
…000111010100
3221000201102021
4302233013110
511401101210
61153022524
7221023015
oct62570724
927021367
1013300180
117564693
124554a44
1329a8a3a
141aa300c
15127abda
hexcaf1d4

13300180 has 24 divisors (see below), whose sum is σ = 28191240. Its totient is φ = 5270400.

The previous prime is 13300159. The next prime is 13300181. The reversal of 13300180 is 8100331.

It can be written as a sum of positive squares in 4 ways, for example, as 2944656 + 10355524 = 1716^2 + 3218^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300181) 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 7 ways as a sum of consecutive naturals, for example, 871 + ... + 5230.

It is an arithmetic number, because the mean of its divisors is an integer number (1174635).

Almost surely, 213300180 is an apocalyptic number.

13300180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300180 is an abundant number, since it is smaller than the sum of its proper divisors (14891060).

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

13300180 is a wasteful number, since it uses less digits than its factorization.

13300180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 13300180 is about 3646.9411840610. The cubic root of 13300180 is about 236.9295190610.

The spelling of 13300180 in words is "thirteen million, three hundred thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 6101 12202 24404 30505 61010 122020 665009 1330018 2660036 3325045 6650090 13300180