Search a number
-
+
13203820 = 2257372549
BaseRepresentation
bin110010010111…
…100101101100
3220211211020101
4302113211230
511340010240
61151000444
7220142050
oct62274554
926754211
1013203820
1174a9253
124509124
132973c16
141a79c60
15125c39a
hexc9796c

13203820 has 48 divisors (see below), whose sum is σ = 32558400. Its totient is φ = 4402944.

The previous prime is 13203811. The next prime is 13203821. The reversal of 13203820 is 2830231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13203821) 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 15 ways as a sum of consecutive naturals, for example, 3906 + ... + 6454.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 213203820 is an apocalyptic number.

13203820 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 13203820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279200).

13203820 is an abundant number, since it is smaller than the sum of its proper divisors (19354580).

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

13203820 is a wasteful number, since it uses less digits than its factorization.

13203820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 13203820 is about 3633.7060970860. The cubic root of 13203820 is about 236.3559456884.

The spelling of 13203820 in words is "thirteen million, two hundred three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2549 2590 5098 5180 10196 12745 17843 25490 35686 50980 71372 89215 94313 178430 188626 356860 377252 471565 660191 943130 1320382 1886260 2640764 3300955 6601910 13203820