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

bin | 100010010101… |

… | …010001000000 |

3 | 121221020200100 |

4 | 202111101000 |

5 | 4301000000 |

6 | 520522400 |

7 | 136333032 |

oct | 42252100 |

9 | 17836610 |

10 | 9000000 |

11 | 5097919 |

12 | 3020400 |

13 | 1b31659 |

14 | 12a3c52 |

15 | bcba00 |

hex | 895440 |

9000000 has 147 divisors (see below), whose sum is σ = 32245681. Its totient is φ = 2400000.

The previous prime is 8999993. The next prime is 9000011. The reversal of 9000000 is 9.

The square root of 9000000 is 3000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 7884864 + 1115136 = 2808^2 + 1056^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a Duffinian number.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1799998 + ... + 1800002.

Almost surely, 2^{9000000} is an apocalyptic number.

9000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9000000 is the 3000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000000

9000000 is an abundant number, since it is smaller than the sum of its proper divisors (23245681).

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

9000000 is an frugal number, since it uses more digits than its factorization.

9000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The cubic root of 9000000 is about 208.0083823052.

The spelling of 9000000 in words is "nine million", and is thus an aban number and an uban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 144 150 160 180 192 200 225 240 250 288 300 320 360 375 400 450 480 500 576 600 625 720 750 800 900 960 1000 1125 1200 1250 1440 1500 1600 1800 1875 2000 2250 2400 2500 2880 3000 3125 3600 3750 4000 4500 4800 5000 5625 6000 6250 7200 7500 8000 9000 9375 10000 11250 12000 12500 14400 15000 15625 18000 18750 20000 22500 24000 25000 28125 30000 31250 36000 37500 40000 45000 46875 50000 56250 60000 62500 72000 75000 90000 93750 100000 112500 120000 125000 140625 150000 180000 187500 200000 225000 250000 281250 300000 360000 375000 450000 500000 562500 600000 750000 900000 1000000 1125000 1500000 1800000 2250000 3000000 4500000 9000000

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