Search a number
-
+
123232320 = 2633517839
BaseRepresentation
bin1110101100001…
…10000001000000
322120212211222000
413112012001000
5223021413240
620121144000
73024312621
oct726060100
9276784860
10123232320
116361a2a2
123532b000
131c6b9243
141251ba48
15ac43430
hex7586040

123232320 has 224 divisors, whose sum is σ = 460857600. Its totient is φ = 30892032.

The previous prime is 123232301. The next prime is 123232327. The reversal of 123232320 is 23232321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123232293 and 123232302.

It is not an unprimeable number, because it can be changed into a prime (123232327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146461 + ... + 147299.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2123232320 is an apocalyptic number.

123232320 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 123232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230428800).

123232320 is an abundant number, since it is smaller than the sum of its proper divisors (337625280).

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

123232320 is a wasteful number, since it uses less digits than its factorization.

123232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 123232320 is about 11101.0053598762. The cubic root of 123232320 is about 497.6318951995.

Adding to 123232320 its reverse (23232321), we get a palindrome (146464641).

Subtracting from 123232320 its reverse (23232321), we obtain a palindrome (99999999).

The spelling of 123232320 in words is "one hundred twenty-three million, two hundred thirty-two thousand, three hundred twenty".