Base | Representation |
---|---|

bin | 110000000111… |

… | …101100011000 |

3 | 212201212201220 |

4 | 300013230120 |

5 | 11212130144 |

6 | 1130212040 |

7 | 212135514 |

oct | 60075430 |

9 | 25655656 |

10 | 12614424 |

11 | 7136449 |

12 | 4284020 |

13 | 27c8874 |

14 | 1965144 |

15 | 1192919 |

hex | c07b18 |

12614424 has 64 divisors (see below), whose sum is σ = 32970240. Its totient is φ = 4018560.

The previous prime is 12614417. The next prime is 12614431. The reversal of 12614424 is 42441621.

12614424 = T_{1} + T_{2} + ... +
T_{422}.

It is a happy number.

12614424 is a nontrivial binomial coefficient, being equal to C(424, 3).

It is an interprime number because it is at equal distance from previous prime (12614417) and next prime (12614431).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 12614394 and 12614403.

It is a congruent number.

It is an unprimeable number.

It is the 422-nd tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59679 + ... + 59889.

It is an arithmetic number, because the mean of its divisors is an integer number (515160).

Almost surely, 2^{12614424} 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 12614424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16485120).

12614424 is an abundant number, since it is smaller than the sum of its proper divisors (20355816).

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

12614424 is a wasteful number, since it uses less digits than its factorization.

12614424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 12614424 is about 3551.6790395530. The cubic root of 12614424 is about 232.7854373810.

The spelling of 12614424 in words is "twelve million, six hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 53 94 106 141 159 188 211 212 282 318 376 422 424 564 633 636 844 1128 1266 1272 1688 2491 2532 4982 5064 7473 9917 9964 11183 14946 19834 19928 22366 29751 29892 33549 39668 44732 59502 59784 67098 79336 89464 119004 134196 238008 268392 525601 1051202 1576803 2102404 3153606 4204808 6307212 12614424

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