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123668468 = 22711478543
BaseRepresentation
bin1110101111100…
…00011111110100
322121201000020122
413113300133310
5223124342333
620134351112
73031110320
oct727603764
9277630218
10123668468
1163897a50
12354bb498
131c80c911
14125d2980
15accc798
hex75f07f4

123668468 has 48 divisors (see below), whose sum is σ = 275595264. Its totient is φ = 47151840.

The previous prime is 123668449. The next prime is 123668471. The reversal of 123668468 is 864866321.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10205 + ... + 18747.

It is an arithmetic number, because the mean of its divisors is an integer number (5741568).

Almost surely, 2123668468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123668468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137797632).

123668468 is an abundant number, since it is smaller than the sum of its proper divisors (151926796).

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

123668468 is a wasteful number, since it uses less digits than its factorization.

123668468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612 (or 8610 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 123668468 is about 11120.6325359666. The cubic root of 123668468 is about 498.2182825070.

The spelling of 123668468 in words is "one hundred twenty-three million, six hundred sixty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 308 329 517 658 1034 1316 2068 3619 7238 8543 14476 17086 34172 59801 93973 119602 187946 239204 375892 401521 657811 803042 1315622 1606084 2631244 2810647 4416731 5621294 8833462 11242588 17666924 30917117 61834234 123668468