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

bin | 100110001001… |

… | …011010000000 |

3 | 200211001102101 |

4 | 212021122000 |

5 | 10030000000 |

6 | 554200144 |

7 | 150666343 |

oct | 46113200 |

9 | 20731371 |

10 | 10000000 |

11 | 571016a |

12 | 3423054 |

13 | 20c187a |

14 | 148445a |

15 | d27e6a |

hex | 989680 |

10000000 has 64 divisors (see below), whose sum is σ = 24902280. Its totient is φ = 4000000.

The previous prime is 9999991. The next prime is 10000019. The reversal of 10000000 is 1.

It is a happy number.

It is a perfect power (a 7-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6031936 + 3968064 = 2456^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (1).

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1999998 + ... + 2000002.

Almost surely, 2^{10000000} is an apocalyptic number.

10000000 is a gapful number since it is divisible by the number (10) 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 10000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12451140).

10000000 is an abundant number, since it is smaller than the sum of its proper divisors (14902280).

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

10000000 is an frugal number, since it uses more digits than its factorization.

10000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 1.

The square root of 10000000 is about 3162.2776601684. The cubic root of 10000000 is about 215.4434690032.

The spelling of 10000000 in words is "ten million", and thus it is an aban number and an uban 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 15625 16000 20000 25000 31250 40000 50000 62500 78125 80000 100000 125000 156250 200000 250000 312500 400000 500000 625000 1000000 1250000 2000000 2500000 5000000 10000000

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