Search a number
-
+
123464 = 23112361
BaseRepresentation
bin11110001001001000
320021100202
4132021020
512422324
62351332
71022645
oct361110
9207322
10123464
1184840
125b548
1344273
1432dcc
15268ae
hex1e248

123464 has 32 divisors (see below), whose sum is σ = 267840. Its totient is φ = 52800.

The previous prime is 123457. The next prime is 123479. The reversal of 123464 is 464321.

It is a happy number.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1994 + ... + 2054.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2123464 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 123464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

123464 is an abundant number, since it is smaller than the sum of its proper divisors (144376).

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

123464 is a wasteful number, since it uses less digits than its factorization.

123464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 123464 is about 351.3744441476. The cubic root of 123464 is about 49.7943553652.

Adding to 123464 its reverse (464321), we get a palindrome (587785).

The spelling of 123464 in words is "one hundred twenty-three thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 44 46 61 88 92 122 184 244 253 488 506 671 1012 1342 1403 2024 2684 2806 5368 5612 11224 15433 30866 61732 123464