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123206420 = 2256160321
BaseRepresentation
bin1110101011111…
…11101100010100
322120211112102202
413111333230110
5223020101140
620120424032
73024144251
oct725775424
9276745382
10123206420
1163601897
1235318018
131c6aa50c
1412512428
15ac3a915
hex757fb14

123206420 has 12 divisors (see below), whose sum is σ = 258733524. Its totient is φ = 49282560.

The previous prime is 123206401. The next prime is 123206441. The reversal of 123206420 is 24602321.

It can be written as a sum of positive squares in 2 ways, for example, as 78074896 + 45131524 = 8836^2 + 6718^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6160321 = 123206420 / (1 + 2 + 3 + 2 + 0 + 6 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 123206392 and 123206401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3080141 + ... + 3080180.

It is an arithmetic number, because the mean of its divisors is an integer number (21561127).

Almost surely, 2123206420 is an apocalyptic number.

123206420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123206420 is an abundant number, since it is smaller than the sum of its proper divisors (135527104).

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

123206420 is a wasteful number, since it uses less digits than its factorization.

123206420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160330 (or 6160328 counting only the distinct ones).

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

The square root of 123206420 is about 11099.8387375673. The cubic root of 123206420 is about 497.5970299706.

Adding to 123206420 its reverse (24602321), we get a palindrome (147808741).

The spelling of 123206420 in words is "one hundred twenty-three million, two hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 6160321 12320642 24641284 30801605 61603210 123206420