Search a number
-
+
123584056 = 23194717299
BaseRepresentation
bin1110101110110…
…11111000111000
322121112201110021
413113123320320
5223114142211
620132500224
73030306241
oct727337070
9277481407
10123584056
116383a592
123547a674
131c7b037b
14125adcc8
15acb2771
hex75dbe38

123584056 has 32 divisors (see below), whose sum is σ = 249120000. Its totient is φ = 57290976.

The previous prime is 123584053. The next prime is 123584057. The reversal of 123584056 is 650485321.

It is a super-2 number, since 2×1235840562 = 30546037794822272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123584053) 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 7 ways as a sum of consecutive naturals, for example, 1506 + ... + 15793.

It is an arithmetic number, because the mean of its divisors is an integer number (7785000).

Almost surely, 2123584056 is an apocalyptic number.

It is an amenable number.

123584056 is an abundant number, since it is smaller than the sum of its proper divisors (125535944).

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

123584056 is a wasteful number, since it uses less digits than its factorization.

123584056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17371 (or 17367 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 123584056 is about 11116.8366004003. The cubic root of 123584056 is about 498.1049009405.

The spelling of 123584056 in words is "one hundred twenty-three million, five hundred eighty-four thousand, fifty-six".

Divisors: 1 2 4 8 19 38 47 76 94 152 188 376 893 1786 3572 7144 17299 34598 69196 138392 328681 657362 813053 1314724 1626106 2629448 3252212 6504424 15448007 30896014 61792028 123584056