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123164028 = 223213263171
BaseRepresentation
bin1110101011101…
…01010101111100
322120202101021200
413111311111330
5223012222103
620115455500
73023606541
oct725652574
9276671250
10123164028
1163582a59
12352b7590
131c694130
1412500bc8
15ac2d0a3
hex757557c

123164028 has 36 divisors (see below), whose sum is σ = 335281128. Its totient is φ = 37896480.

The previous prime is 123164021. The next prime is 123164047. The reversal of 123164028 is 820461321.

123164028 is a `hidden beast` number, since 12 + 3 + 1 + 640 + 2 + 8 = 666.

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 = 123163992 and 123164010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123164021) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 131118 + ... + 132053.

Almost surely, 2123164028 is an apocalyptic number.

123164028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123164028 is an abundant number, since it is smaller than the sum of its proper divisors (212117100).

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

123164028 is a wasteful number, since it uses less digits than its factorization.

123164028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263194 (or 263189 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 123164028 is about 11097.9289959884. The cubic root of 123164028 is about 497.5399535264.

The spelling of 123164028 in words is "one hundred twenty-three million, one hundred sixty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 263171 526342 789513 1052684 1579026 2368539 3158052 3421223 4737078 6842446 9474156 10263669 13684892 20527338 30791007 41054676 61582014 123164028