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123306020 = 22517533517
BaseRepresentation
bin1110101100110…
…00000000100100
322121000121001122
413112120000210
5223031243040
620122513112
73025040525
oct726300044
9277017048
10123306020
116366a702
1235365798
131c713956
141253a84c
15ac5a1b5
hex7598024

123306020 has 24 divisors (see below), whose sum is σ = 259164024. Its totient is φ = 49280256.

The previous prime is 123306011. The next prime is 123306031. The reversal of 123306020 is 20603321.

It can be written as a sum of positive squares in 4 ways, for example, as 11115556 + 112190464 = 3334^2 + 10592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 123306020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33302 + ... + 36818.

It is an arithmetic number, because the mean of its divisors is an integer number (10798501).

Almost surely, 2123306020 is an apocalyptic number.

123306020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123306020 is an abundant number, since it is smaller than the sum of its proper divisors (135858004).

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

123306020 is a wasteful number, since it uses less digits than its factorization.

123306020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 123306020 is about 11104.3243828699. The cubic root of 123306020 is about 497.7310795741.

Adding to 123306020 its reverse (20603321), we get a palindrome (143909341).

The spelling of 123306020 in words is "one hundred twenty-three million, three hundred six thousand, twenty".

Divisors: 1 2 4 5 10 20 1753 3506 3517 7012 7034 8765 14068 17530 17585 35060 35170 70340 6165301 12330602 24661204 30826505 61653010 123306020