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

bin | 1100111010100100000 |

3 | 210111112002 |

4 | 1213110200 |

5 | 102020300 |

6 | 13023132 |

7 | 3411551 |

oct | 1472440 |

9 | 714462 |

10 | 423200 |

11 | 269a58 |

12 | 184aa8 |

13 | 11a81b |

14 | b0328 |

15 | 855d5 |

hex | 67520 |

423200 has 54 divisors (see below), whose sum is σ = 1080009. Its totient is φ = 161920.

The previous prime is 423191. The next prime is 423209. The reversal of 423200 is 2324.

Adding to 423200 its reverse (2324), we get a palindrome (425524).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (423191) and next prime (423209).

It can be written as a sum of positive squares in 2 ways, for example, as 414736 + 8464 = 644^2 + 92^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=460.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 423200.

It is not an unprimeable number, because it can be changed into a prime (423209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18389 + ... + 18411.

2^{423200} is an apocalyptic number.

423200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423200

423200 is an abundant number, since it is smaller than the sum of its proper divisors (656809).

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

423200 is a wasteful number, since it uses less digits than its factorization.

423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 423200 is about 650.5382386916. The cubic root of 423200 is about 75.0784364595.

The spelling of 423200 in words is "four hundred twenty-three thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 529 575 736 800 920 1058 1150 1840 2116 2300 2645 3680 4232 4600 5290 8464 9200 10580 13225 16928 18400 21160 26450 42320 52900 84640 105800 211600 423200

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