Search a number
-
+
12383820 = 22335171971
BaseRepresentation
bin101111001111…
…011001001100
3212022011102000
4233033121030
511132240240
61121232300
7210155301
oct57173114
925264360
1012383820
116a99169
124192690
132747907
1419050a8
151149430
hexbcf64c

12383820 has 192 divisors, whose sum is σ = 43545600. Its totient is φ = 2903040.

The previous prime is 12383779. The next prime is 12383827. The reversal of 12383820 is 2838321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12383827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174385 + ... + 174455.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 212383820 is an apocalyptic number.

12383820 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 12383820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

12383820 is an abundant number, since it is smaller than the sum of its proper divisors (31161780).

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

12383820 is a wasteful number, since it uses less digits than its factorization.

12383820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12383820 is about 3519.0652167870. The cubic root of 12383820 is about 231.3581894540.

It can be divided in two parts, 12383 and 820, that added together give a triangular number (13203 = T162).

The spelling of 12383820 in words is "twelve million, three hundred eighty-three thousand, eight hundred twenty".