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123540066 = 2341358661
BaseRepresentation
bin1110101110100…
…01001001100010
322121110111010000
413113101021202
5223111240231
620131520430
73030034056
oct727211142
9277414100
10123540066
116380a531
1235459116
131c796340
141259bc66
15aca46e6
hex75d1262

123540066 has 40 divisors (see below), whose sum is σ = 298120284. Its totient is φ = 38011680.

The previous prime is 123540049. The next prime is 123540083. The reversal of 123540066 is 660045321.

It is an interprime number because it is at equal distance from previous prime (123540049) and next prime (123540083).

It can be written as a sum of positive squares in 2 ways, for example, as 100701225 + 22838841 = 10035^2 + 4779^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 27225 + ... + 31436.

Almost surely, 2123540066 is an apocalyptic number.

123540066 is an abundant number, since it is smaller than the sum of its proper divisors (174580218).

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

123540066 is a wasteful number, since it uses less digits than its factorization.

123540066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58688 (or 58679 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 123540066 is about 11114.8578938284. The cubic root of 123540066 is about 498.0457934374.

Adding to 123540066 its reverse (660045321), we get a palindrome (783585387).

The spelling of 123540066 in words is "one hundred twenty-three million, five hundred forty thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 58661 117322 175983 351966 527949 762593 1055898 1525186 1583847 2287779 3167694 4575558 4751541 6863337 9503082 13726674 20590011 41180022 61770033 123540066