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123731028 = 22325416353
BaseRepresentation
bin1110101111111…
…11110001010100
322121211012001200
413113333301110
5223133343103
620135552500
73031460601
oct727776124
9277735050
10123731028
116392aa53
123552b730
131c832235
141260b6a8
15ace10a3
hex75ffc54

123731028 has 36 divisors (see below), whose sum is σ = 313391988. Its totient is φ = 41160960.

The previous prime is 123730987. The next prime is 123731051. The reversal of 123731028 is 820137321.

It can be written as a sum of positive squares in 2 ways, for example, as 52969284 + 70761744 = 7278^2 + 8412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 123730992 and 123731010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16300 + ... + 22652.

It is an arithmetic number, because the mean of its divisors is an integer number (8705333).

Almost surely, 2123731028 is an apocalyptic number.

123731028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123731028 is an abundant number, since it is smaller than the sum of its proper divisors (189660960).

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

123731028 is a wasteful number, since it uses less digits than its factorization.

123731028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 123731028 is about 11123.4449699722. Note that the first 3 decimals coincide. The cubic root of 123731028 is about 498.3022793469.

Adding to 123731028 its reverse (820137321), we get a palindrome (943868349).

The spelling of 123731028 in words is "one hundred twenty-three million, seven hundred thirty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 541 1082 1623 2164 3246 4869 6353 6492 9738 12706 19059 19476 25412 38118 57177 76236 114354 228708 3436973 6873946 10310919 13747892 20621838 30932757 41243676 61865514 123731028