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1123420320 = 253351147503
BaseRepresentation
bin100001011110110…
…0000100010100000
32220021220122222000
41002331200202200
54300043422240
6303250444000
736560625621
oct10275404240
92807818860
101123420320
11527161350
12274293600
1314b990b69
14a92b7a48
1568960430
hex42f608a0

1123420320 has 384 divisors, whose sum is σ = 4389396480. Its totient is φ = 266019840.

The previous prime is 1123420301. The next prime is 1123420321. The reversal of 1123420320 is 230243211.

1123420320 is a `hidden beast` number, since 1 + 1 + 2 + 342 + 0 + 320 = 666.

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 = 1123420293 and 1123420302.

It is not an unprimeable number, because it can be changed into a prime (1123420321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2233189 + ... + 2233691.

It is an arithmetic number, because the mean of its divisors is an integer number (11430720).

Almost surely, 21123420320 is an apocalyptic number.

1123420320 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 1123420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194698240).

1123420320 is an abundant number, since it is smaller than the sum of its proper divisors (3265976160).

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

1123420320 is a wasteful number, since it uses less digits than its factorization.

1123420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1123420320 is about 33517.4629111453. The cubic root of 1123420320 is about 1039.5548884185.

Adding to 1123420320 its reverse (230243211), we get a palindrome (1353663531).

The spelling of 1123420320 in words is "one billion, one hundred twenty-three million, four hundred twenty thousand, three hundred twenty".