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

bin | 1000111100001… |

… | …10100011000000 |

3 | 12020010101122210 |

4 | 10132012203000 |

5 | 123200000000 |

6 | 11235302120 |

7 | 1600326615 |

oct | 436064300 |

9 | 166111583 |

10 | 75000000 |

11 | 39376679 |

12 | 2114a940 |

13 | 126cc5ca |

14 | 9d6450c |

15 | 68b7350 |

hex | 47868c0 |

75000000 has 126 divisors (see below), whose sum is σ = 248046748. Its totient is φ = 20000000.

The previous prime is 74999959. The next prime is 75000007. The reversal of 75000000 is 57.

Multipling 75000000 by its sum of digits (12), we get a square (900000000 = 30000^{2}).

75000000 divided by its sum of digits (12) gives a 4-th power (6250000 = 50^{4}).

Adding to 75000000 its reverse (57), we get a palindrome (75000057).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 10.

It is a self number, because there is not a number *n* which added to its sum of digits gives 75000000.

It is not an unprimeable number, because it can be changed into a prime (75000007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14999998 + ... + 15000002.

Almost surely, 2^{75000000} 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 75000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124023374).

75000000 is an abundant number, since it is smaller than the sum of its proper divisors (173046748).

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

75000000 is an frugal number, since it uses more digits than its factorization.

75000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 12.

The square root of 75000000 is about 8660.2540378444. The cubic root of 75000000 is about 421.7163326509.

The spelling of 75000000 in words is "seventy-five million", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3125 3750 4000 4800 5000 6000 6250 7500 8000 9375 10000 12000 12500 15000 15625 18750 20000 24000 25000 30000 31250 37500 40000 46875 50000 60000 62500 75000 78125 93750 100000 120000 125000 150000 156250 187500 200000 234375 250000 300000 312500 375000 390625 468750 500000 600000 625000 750000 781250 937500 1000000 1171875 1250000 1500000 1562500 1875000 2343750 2500000 3000000 3125000 3750000 4687500 5000000 6250000 7500000 9375000 12500000 15000000 18750000 25000000 37500000 75000000

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