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123441320 = 2353086033
BaseRepresentation
bin1110101101110…
…01000010101000
322121021110122202
413112321002220
5223100110240
620125435332
73026143142
oct726710250
9277243582
10123441320
1163752322
123540bb48
131c760402
1412573c92
15ac85315
hex75b90a8

123441320 has 16 divisors (see below), whose sum is σ = 277743060. Its totient is φ = 49376512.

The previous prime is 123441289. The next prime is 123441337. The reversal of 123441320 is 23144321.

It can be written as a sum of positive squares in 2 ways, for example, as 120077764 + 3363556 = 10958^2 + 1834^2 .

It is a super-3 number, since 3×1234413203 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123441292 and 123441301.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1542977 + ... + 1543056.

Almost surely, 2123441320 is an apocalyptic number.

123441320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123441320 is an abundant number, since it is smaller than the sum of its proper divisors (154301740).

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

123441320 is a wasteful number, since it uses less digits than its factorization.

123441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086044 (or 3086040 counting only the distinct ones).

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

The square root of 123441320 is about 11110.4149337457. The cubic root of 123441320 is about 497.9130614944.

Adding to 123441320 its reverse (23144321), we get a palindrome (146585641).

The spelling of 123441320 in words is "one hundred twenty-three million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3086033 6172066 12344132 15430165 24688264 30860330 61720660 123441320