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

bin | 1100001101010000000 |

3 | 202022200211 |

4 | 1201222000 |

5 | 100300000 |

6 | 12323504 |

7 | 3254116 |

oct | 1415200 |

9 | 668624 |

10 | 400000 |

11 | 253587 |

12 | 173594 |

13 | 1100b3 |

14 | a5ab6 |

15 | 7d7ba |

hex | 61a80 |

400000 has 48 divisors (see below), whose sum is σ = 996030. Its totient is φ = 160000.

The previous prime is 399989. The next prime is 400009. The reversal of 400000 is 4.

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 can be written as a sum of positive squares in 3 ways, for example, as 576 + 399424 = 24^2 + 632^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (400009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79998 + ... + 80002.

2^{400000} is an apocalyptic number.

400000 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 400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498015).

400000 is an abundant number, since it is smaller than the sum of its proper divisors (596030).

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

400000 is an frugal number, since it uses more digits than its factorization.

400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 400000 is about 632.4555320337. The cubic root of 400000 is about 73.6806299728.

The spelling of 400000 in words is "four hundred thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000

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