Search a number
-
+
392380 = 22523853
BaseRepresentation
bin1011111110010111100
3201221020121
41133302330
5100024010
612224324
73222652
oct1376274
9657217
10392380
1124888a
1216b0a4
131097a1
14a2dd2
157b3da
hex5fcbc

392380 has 24 divisors (see below), whose sum is σ = 860832. Its totient is φ = 149952.

The previous prime is 392363. The next prime is 392383. The reversal of 392380 is 83293.

It is a happy number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392383) 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, 34 + ... + 886.

It is an arithmetic number, because the mean of its divisors is an integer number (35868).

2392380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430416).

392380 is an abundant number, since it is smaller than the sum of its proper divisors (468452).

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

392380 is a wasteful number, since it uses less digits than its factorization.

392380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 392380 is about 626.4024265598. The cubic root of 392380 is about 73.2097551373.

It can be divided in two parts, 3 and 92380, that multiplied together give a triangular number (277140 = T744).

The spelling of 392380 in words is "three hundred ninety-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 853 1706 3412 4265 8530 17060 19619 39238 78476 98095 196190 392380