Base | Representation |
---|---|
bin | 1110101110011… |
… | …10111001010000 |
3 | 22121110000110000 |
4 | 13113032321100 |
5 | 223110441312 |
6 | 20131410000 |
7 | 3026665125 |
oct | 727167120 |
9 | 277400400 |
10 | 123530832 |
11 | 638035a7 |
12 | 35453900 |
13 | 1c792089 |
14 | 1259874c |
15 | aca1adc |
hex | 75cee50 |
123530832 has 50 divisors (see below), whose sum is σ = 357537818. Its totient is φ = 41176512.
The previous prime is 123530831. The next prime is 123530839. The reversal of 123530832 is 238035321.
123530832 is a `hidden beast` number, since 123 + 530 + 8 + 3 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 121352256 + 2178576 = 11016^2 + 1476^2 .
It is a super-2 number, since 2×1235308322 = 30519732909224448, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 123530796 and 123530805.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123530831) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 46363 + ... + 48954.
Almost surely, 2123530832 is an apocalyptic number.
123530832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
123530832 is an abundant number, since it is smaller than the sum of its proper divisors (234006986).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123530832 is an equidigital number, since it uses as much as digits as its factorization.
123530832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 95337 (or 95322 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 123530832 is about 11114.4424961399. The cubic root of 123530832 is about 498.0333843203.
The spelling of 123530832 in words is "one hundred twenty-three million, five hundred thirty thousand, eight hundred thirty-two".
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